{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Python for Finance (2nd ed.)\n",
    "\n",
    "**Mastering Data-Driven Finance**\n",
    "\n",
    "&copy; Dr. Yves J. Hilpisch | The Python Quants GmbH\n",
    "\n",
    "<img src=\"http://hilpisch.com/images/py4fi_2nd_shadow.png\" width=\"300px\" align=\"left\">"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# DX Analytics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "uuid": "f087ed8b-b432-48a9-a791-451ac477c046"
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import datetime as dt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from pylab import mpl, plt\n",
    "plt.style.use('seaborn')\n",
    "mpl.rcParams['font.family'] = 'serif'\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "uuid": "1d45b83a-110e-4c94-9404-859554d3f2d7"
   },
   "outputs": [],
   "source": [
    "import sys\n",
    "sys.path.append('../dx')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## DX Frame"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Risk-Neutral Discounting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "uuid": "c10b29e3-bd0a-4c3f-83ea-234cc959fa5b"
   },
   "outputs": [],
   "source": [
    "dates = [dt.datetime(2020, 1, 1), dt.datetime(2020, 7, 1),\n",
    "         dt.datetime(2021, 1, 1)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.4986301369863014"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(dates[1] - dates[0]).days / 365."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.5041095890410959"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(dates[2] - dates[1]).days / 365."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "uuid": "6ae9c451-fdf0-41b0-9b4e-89f57c2bcc3c"
   },
   "outputs": [],
   "source": [
    "fractions = [0.0, 0.5, 1.0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "from get_year_deltas import get_year_deltas"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.        , 0.49863014, 1.00273973])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "get_year_deltas(dates)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "uuid": "278721fb-d9a8-4270-a7d5-62f85cff52f0"
   },
   "outputs": [],
   "source": [
    "from constant_short_rate import constant_short_rate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "uuid": "ed812d8b-0e9d-47ab-8793-4bede4dfaf36"
   },
   "outputs": [],
   "source": [
    "csr = constant_short_rate('csr', 0.05)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "uuid": "1ebd8c12-ee83-46cd-a0b6-7439aa8756b4"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[datetime.datetime(2020, 1, 1, 0, 0), 1.0],\n",
       "       [datetime.datetime(2020, 7, 1, 0, 0), 0.9753767163648953],\n",
       "       [datetime.datetime(2021, 1, 1, 0, 0), 0.9510991280247174]],\n",
       "      dtype=object)"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "csr.get_discount_factors(dates)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.        , 0.49863014, 1.00273973])"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "deltas = get_year_deltas(dates)\n",
    "deltas"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "uuid": "c545e941-ad55-4975-abdd-2071c0453b0a"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.        , 1.        ],\n",
       "       [0.49863014, 0.97537672],\n",
       "       [1.00273973, 0.95109913]])"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "csr.get_discount_factors(deltas, dtobjects=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Market Environment"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "from market_environment import market_environment"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "uuid": "455e1e9e-45be-4c74-b2d3-5dac6132d568"
   },
   "outputs": [],
   "source": [
    "me = market_environment('me_gbm', dt.datetime(2020, 1, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "uuid": "3d703766-a01a-458a-8730-ab52da923737"
   },
   "outputs": [],
   "source": [
    "me.add_constant('initial_value', 36.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "uuid": "3d703766-a01a-458a-8730-ab52da923737"
   },
   "outputs": [],
   "source": [
    "me.add_constant('volatility', 0.2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "uuid": "3d703766-a01a-458a-8730-ab52da923737"
   },
   "outputs": [],
   "source": [
    "me.add_constant('final_date', dt.datetime(2020, 12, 31))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "uuid": "3d703766-a01a-458a-8730-ab52da923737"
   },
   "outputs": [],
   "source": [
    "me.add_constant('currency', 'EUR')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "uuid": "3d703766-a01a-458a-8730-ab52da923737"
   },
   "outputs": [],
   "source": [
    "me.add_constant('frequency', 'M')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "uuid": "3d703766-a01a-458a-8730-ab52da923737"
   },
   "outputs": [],
   "source": [
    "me.add_constant('paths', 10000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "uuid": "946be8e3-9d32-42ec-becf-7174d6d37cb7"
   },
   "outputs": [],
   "source": [
    "me.add_curve('discount_curve', csr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.2"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "me.get_constant('volatility')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.05"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "me.get_curve('discount_curve').short_rate"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## DX Simulation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sn_random_numbers import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[[-0.8044583 ,  0.32093155],\n",
       "        [-0.02548288,  0.64432383]],\n",
       "\n",
       "       [[-0.30079667,  0.38947455],\n",
       "        [-0.1074373 , -0.47998308]]])"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "snrn = sn_random_numbers((2, 2, 2), antithetic=False,\n",
    "                         moment_matching=False, fixed_seed=True)\n",
    "snrn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-0.045429"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "round(snrn.mean(), 6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.451876"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "round(snrn.std(), 6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[[-1.67972865,  0.81075283],\n",
       "        [ 0.04413963,  1.52641815]],\n",
       "\n",
       "       [[-0.56512826,  0.96243813],\n",
       "        [-0.13722505, -0.96166678]]])"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "snrn = sn_random_numbers((2, 2, 2), antithetic=False,\n",
    "                         moment_matching=True, fixed_seed=True)\n",
    "snrn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-0.0"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "round(snrn.mean(), 6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "round(snrn.std(), 6)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Geometric Brownian Motion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "uuid": "5e40de07-230f-4e0a-b993-4081ec791fe7"
   },
   "outputs": [],
   "source": [
    "from dx_frame import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "uuid": "b630a638-da9f-4084-9e2b-14b0e1565fd6"
   },
   "outputs": [],
   "source": [
    "me_gbm = market_environment('me_gbm', dt.datetime(2020, 1, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "uuid": "a49a07ca-f6e7-495e-acc1-edfb73b22edd"
   },
   "outputs": [],
   "source": [
    "me_gbm.add_constant('initial_value', 36.)\n",
    "me_gbm.add_constant('volatility', 0.2)\n",
    "me_gbm.add_constant('final_date', dt.datetime(2020, 12, 31))\n",
    "me_gbm.add_constant('currency', 'EUR')\n",
    "me_gbm.add_constant('frequency', 'M')  \n",
    "me_gbm.add_constant('paths', 10000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "uuid": "520e0490-b29b-441e-a2f7-ae89fc87cf0f"
   },
   "outputs": [],
   "source": [
    "csr = constant_short_rate('csr', 0.06)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "uuid": "bac36a29-b2b5-4f62-b848-7cb6f382dc9b"
   },
   "outputs": [],
   "source": [
    "me_gbm.add_curve('discount_curve', csr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "uuid": "f9193b81-e8d5-48ea-a86a-94a15a01022f"
   },
   "outputs": [],
   "source": [
    "from geometric_brownian_motion import geometric_brownian_motion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "uuid": "a00112c1-422e-4140-83e9-1388bc660b11"
   },
   "outputs": [],
   "source": [
    "gbm = geometric_brownian_motion('gbm', me_gbm)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "uuid": "a6f31102-77b0-4076-a9d6-7a92f3ffdc5e"
   },
   "outputs": [],
   "source": [
    "gbm.generate_time_grid()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "uuid": "ac81750e-be2b-403b-8260-20822f5307a7"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([datetime.datetime(2020, 1, 1, 0, 0),\n",
       "       datetime.datetime(2020, 1, 31, 0, 0),\n",
       "       datetime.datetime(2020, 2, 29, 0, 0),\n",
       "       datetime.datetime(2020, 3, 31, 0, 0),\n",
       "       datetime.datetime(2020, 4, 30, 0, 0),\n",
       "       datetime.datetime(2020, 5, 31, 0, 0),\n",
       "       datetime.datetime(2020, 6, 30, 0, 0),\n",
       "       datetime.datetime(2020, 7, 31, 0, 0),\n",
       "       datetime.datetime(2020, 8, 31, 0, 0),\n",
       "       datetime.datetime(2020, 9, 30, 0, 0),\n",
       "       datetime.datetime(2020, 10, 31, 0, 0),\n",
       "       datetime.datetime(2020, 11, 30, 0, 0),\n",
       "       datetime.datetime(2020, 12, 31, 0, 0)], dtype=object)"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gbm.time_grid  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "uuid": "a480cd1f-a793-476b-bdd2-a79b568a1872"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 6.39 ms, sys: 2.49 ms, total: 8.88 ms\n",
      "Wall time: 6.96 ms\n"
     ]
    }
   ],
   "source": [
    "%time paths_1 = gbm.get_instrument_values()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "uuid": "aed54761-2093-409d-912a-fded6f76b418"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[36.   , 36.   , 36.   , ..., 36.   , 36.   , 36.   ],\n",
       "       [37.403, 38.12 , 34.4  , ..., 36.252, 35.084, 39.668],\n",
       "       [39.562, 42.335, 32.405, ..., 34.836, 33.637, 37.655],\n",
       "       ...,\n",
       "       [40.534, 33.506, 23.497, ..., 37.851, 30.122, 30.446],\n",
       "       [42.527, 36.995, 21.885, ..., 36.014, 30.907, 30.712],\n",
       "       [43.811, 37.876, 24.1  , ..., 36.263, 28.138, 29.038]])"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "paths_1.round(3)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "uuid": "e6dfa29f-27df-4e30-ba44-7f784425d4d9"
   },
   "outputs": [],
   "source": [
    "gbm.update(volatility=0.5)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "uuid": "d1ec64b1-5f80-4c8b-b4ef-d1cbe2622d31"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 5.29 ms, sys: 1.64 ms, total: 6.93 ms\n",
      "Wall time: 5.36 ms\n"
     ]
    }
   ],
   "source": [
    "%time paths_2 = gbm.get_instrument_values()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "uuid": "48e79769-db06-4973-8e3a-a8933df14b1e"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "p1 = plt.plot(gbm.time_grid, paths_1[:, :10], 'b')\n",
    "p2 = plt.plot(gbm.time_grid, paths_2[:, :10], 'r-.')\n",
    "l1 = plt.legend([p1[0], p2[0]],\n",
    "                ['low volatility', 'high volatility'], loc=2)\n",
    "plt.gca().add_artist(l1)\n",
    "plt.xticks(rotation=30);\n",
    "# plt.savefig('../../images/ch18/dx_sim_01.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Jump Diffusion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {
    "uuid": "32912563-dcc1-4399-b5ed-1603c83f19f6"
   },
   "outputs": [],
   "source": [
    "me_jd = market_environment('me_jd', dt.datetime(2020, 1, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "uuid": "66dda0df-b62e-4596-803f-3f74d0b83320"
   },
   "outputs": [],
   "source": [
    "# specific to simulation class\n",
    "me_jd.add_constant('lambda', 0.3)  \n",
    "me_jd.add_constant('mu', -0.75)  \n",
    "me_jd.add_constant('delta', 0.1)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "uuid": "c1e390cc-dd6b-4186-a7be-012f8187ebe4"
   },
   "outputs": [],
   "source": [
    "me_jd.add_environment(me_gbm)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "uuid": "31aeb150-6007-4eaa-b70b-8a798f044f0c"
   },
   "outputs": [],
   "source": [
    "from jump_diffusion import jump_diffusion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "uuid": "e9c72a6e-3433-442e-9db3-02abf8efaff2"
   },
   "outputs": [],
   "source": [
    "jd = jump_diffusion('jd', me_jd)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "uuid": "18fd9ba5-e1c6-4e90-ac6a-fa3727acc524"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 12.6 ms, sys: 1.75 ms, total: 14.3 ms\n",
      "Wall time: 12.9 ms\n"
     ]
    }
   ],
   "source": [
    "%time paths_3 = jd.get_instrument_values()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "uuid": "38806874-53b2-4e91-9bd5-5764654446b8"
   },
   "outputs": [],
   "source": [
    "jd.update(lamb=0.9)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {
    "uuid": "a2bd3f5d-44cb-458d-ae7d-9238d7a6b93b"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 11.9 ms, sys: 1.55 ms, total: 13.4 ms\n",
      "Wall time: 11.9 ms\n"
     ]
    }
   ],
   "source": [
    "%time paths_4 = jd.get_instrument_values()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "uuid": "5b744e93-dac1-4868-8499-6a8f70bcfc42"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "p1 = plt.plot(gbm.time_grid, paths_3[:, :10], 'b')\n",
    "p2 = plt.plot(gbm.time_grid, paths_4[:, :10], 'r-.')\n",
    "l1 = plt.legend([p1[0], p2[0]],\n",
    "                ['low intensity', 'high intensity'], loc=3)\n",
    "plt.gca().add_artist(l1)\n",
    "plt.xticks(rotation=30);\n",
    "# plt.savefig('../../images/ch18/dx_sim_02.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Square-Root Diffusion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {
    "uuid": "5cee70a6-b34b-47dd-a0ca-e4a239209f9a"
   },
   "outputs": [],
   "source": [
    "me_srd = market_environment('me_srd', dt.datetime(2020, 1, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {
    "uuid": "cce8be97-72ab-44b8-8080-74caa746f4fe"
   },
   "outputs": [],
   "source": [
    "me_srd.add_constant('initial_value', .25)\n",
    "me_srd.add_constant('volatility', 0.05)\n",
    "me_srd.add_constant('final_date', dt.datetime(2020, 12, 31))\n",
    "me_srd.add_constant('currency', 'EUR')\n",
    "me_srd.add_constant('frequency', 'W')\n",
    "me_srd.add_constant('paths', 10000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {
    "uuid": "51da0da3-f606-4872-a44e-356ab708c1b7"
   },
   "outputs": [],
   "source": [
    "# specific to simualation class\n",
    "me_srd.add_constant('kappa', 4.0)\n",
    "me_srd.add_constant('theta', 0.2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {
    "uuid": "d88f4994-9f99-4b84-ae61-64b9ef193bfb"
   },
   "outputs": [],
   "source": [
    "me_srd.add_curve('discount_curve', constant_short_rate('r', 0.0))  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {
    "uuid": "9614dce2-b786-447f-b750-4ef4d78e1cd9"
   },
   "outputs": [],
   "source": [
    "from square_root_diffusion import square_root_diffusion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {
    "uuid": "2ab8a1b3-0ca9-41cc-977b-a935a6f0bec8"
   },
   "outputs": [],
   "source": [
    "srd = square_root_diffusion('srd', me_srd)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {
    "uuid": "0ae9685b-e73c-45f5-996f-58c21843234a"
   },
   "outputs": [],
   "source": [
    "srd_paths = srd.get_instrument_values()[:, :10]  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {
    "uuid": "c25fa7d4-688a-4275-9224-0bc20a8b54c0"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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G7Ovkhgd/yeizR4j4O2a9Vtd19rxyhN/9aAdVSQVXNMGOhr4FfhMhhBBCnCmSZM0i7eJUzaz46CihttY522Wl27m8Jp848NQzQ/jTUlvr5O/oxzs6hL22l7GGmaNhuq6z66V2dr9yBJvdTCIcpwwD9U+3sm97B5GwFCgVQggh3uokyZqFyePBUlgEwOgTfzlh21uvXobTbOBIMIYlkZa6PpzDpNOGAgSe2kM8OnGsva7rbH++lX3bO0nz2rn1o+u545ObiaVZ0ZNJdr7Yzj0/2sG2Z1qYnDj5F4pCCCGEODtJkjUHzwUXARA4sJ/4+Nic7SxmI+/fUokOhDvTsMYmGXUU8PCWdHoLS0h2hhjdmfpSUdd1Xnm6hdpd3aRnOrjx9jW4PDZcHhsXbqmgFh1bkQeL1Ujdnm7u/ckOnn6skSH58lAIIYR4y5Ekaw7udetTf9B1xl947oRtL1hTQFGajYv7XyUr2EPCYCGCh21rU5tOT/z1FRKxCC8+2Uz9vh4ysp3ceNsanC7rsXusXpqF02lh37Cf9/7NRrZcV4U3y0lL4yB//M1eHr5nLzGpDC+EEEK8ZUiSNQdzdjaWwkIAxl94nmRs7k2fFUXhIwVjlIf6iCdSU3zZgWJ6PR0cqchFHwpz8H9/yaHaPrJyXdx42xocTsu0e5iMBi6sySMQjnOgZQS1Jo/33rmBK26oxmgyMNAzyfOPNy3eCwshhBBiQUmSdQJHC5Mm/X4md+2cs110oJ/E1j8RNVl50bMUHZ0lURWzMZ3nVsZJGMBWt5/cHBvv+sBqbHbzrPc5WjPrpamaWYHJCLtfbicRTwLQqg3R0zH31KUQQgghzh6SZJ2Aa+36Y38ef+bpWWte6YkE/b/8OXo0SsZttxE02/ADo/1BLsx5H0F3LvtVB4ZgjM1pzVhtsydYALleB1Ul6TR1jtPWMcaj9x7ANx5m/QWllFdlAfDEQ/X4fbIgXgghhDjbmc50B85mlqIizNnZxEZGiHR1EjrcjGOZOq3N6JN/JdzWinvTeeRfcilp3b9lorMINwqBfeM4K6+jccXjrGhtIvbMCwypFzAUttI7HKBnOMDQeAinzUyG20qGx4rTbsYKbH3wIMSTrL2ghE2XlBHwR2jXholFEzz5cD3vvn0tJrPxzARGCCGEECclSdYJKIqCa+16xp56EoDxZ5+elmSFOzsYeexRjOnp5Nz+QQCWVMdo7YlBwspEl49oOEo4cT67Ksa49FA/9Y/9X7Za3gFxKwZFIcNjZXwyQu9wAAArUIUC8STdJNn96hHu3ddNWYGHlStyaa0fYKjfz4tbm9lyXRWKohzrT6+/Hx2dQlf+6QuSEEIIIWYlSdZJHE2yDE4X/n17iY0MY87MIhmL0v+Ln0EiQd5H/waj0wlAviuHQ+W1jB3eiBeFiqEwo0Cb/UrWOv7AqvYJWt+1i3et/RhqXgFmU2rGNhSJ09k1ziuPNxENx+kiSXpJOhkGhcHxEPVto6QtT32taDQZaK4fICvXxeqNxQAMh0b59t4fgK7z1c3/QJY944zESwghhBAp81qTparqlaqq/khV1btUVf3GLOe/rKrq96b+/oCqqlWvO5+jqmqPqqqfXaiOny62igqMHg96Ip4q5/B8qpzDyKMPE+3tIe3yK3CuWHmsfb4zD7zDlF5qpnxTEdY0G5kolIRN9FddQszgYPW+Xu7v+F+GwoPHrgv5Imx/QiMajrPivGL6SX1x+A/vX8u/ffw88jMdvNo4QFZFBol4EovVxPbnWuk+MkZST/K7Qw8QTUSJJmP8QXvkpHsmCiGEEGJxnTTJUlXVAfwE+KKmaXcBq1RVveJ1zVzA32ua9p/AQ8C3j7veAPwbsGehOn06KQYDrjXr0MNhDA4HEy+9SOBgHWNPbcWcm0v2Le+d1j7fmQOANWuUa7Ys5ZY7NzC80gtOM12+YrYvuQmCNdg7fXxv349pn+hgZNDPn+4/QCgQ4+KrKrnksgqWFqbR0D7K8HgIk9HAHVer6EC9L4SOjt1hRlEUnnq0gWe17Rweb2NV1gqqM5bROKqxd+DAGYiWEEIIIY6az0jW+UCHpmmRqZ+3Adcd30DTtK9pmnZ06MQA+I87/WXgF8BbtvaAa+06AMy5eSSDAXp+8D8A5N35cQxW67S2eVNJVp9/AIA0qxlvmZfeTdmct6UAiyVGp3clOUeuwtVRxM9ffIBH7ttHOBjj0ncsY+X6VG2uS1YXoAMv16U2ja4u9bJ5eS5dQwHIdTExFmLFugIi4TgNT43iUly8X72J96vvwWww88fDfyYQC56O8AghhBBiFvNZk5UDHL+vi2/q2AyqqlqADwOfmfr5ciCoadpOVVU/NZ8Oeb0OTKbT89VcdrZ7Xu0yL95E/8/s6L5xFKMRPZGg6L23UHLe2llau8m0exkMDx27/7oCL4+39JO1rpx3Ze+j9v4m2pJV5PRUQg9ESXDhDaVcetlri+qvvcjO7587zKsN/Xzs3TUYjQY+fesa6r71LI0TIZahMzYSJFkyjrUznU0jV1NRmI+iKLw3cD331j3Ck91P8clNH1yIUJ3UfGMp5k9iuvAkpotD4rrwJKYL60zFcz5J1iBwfO88U8emmUqwfgx8VdO01qnDNwL9qqp+BagBvKqqBjRN+/VcDxsbOz2jL9nZboaG5r8noKNmFZO7duK55FKSk37sW94x5/U59mwOjTbT0TuIw2yn2JyqjbW7c5hrM9ZRft5vyfv9w/QWbqQzS6Ul+wB/GNtGcZeXDJv32H02V+fy/P4entvVwZqlqTpZ776ojPufPcy420ZtcD/9xYdY4b+cwRZ46s8NrDu/lM0Zm3jBtYPn2l+lJr2GZd6KNxGpkzvVWIqTk5guPInp4pC4LjyJ6cJa7HieKIGbz3ThdqBUVdWj82IXAn9RVTVDVVUPgKqqduCnwHc1TdurqurNAJqmfUHTtG9pmvYt4CDw9IkSrLPZ0cKkprR0Cj7zORTT3PlpvjP1FWB/MJWLFjqtOE1GtIkAVvdSLLm5WJc7KOl6lZuWx9ly3lomoj5+eOCX06b4jlWAP9B77NiW9YUU57joiI7QX9SECQu3vHczLo+VnS+209EygtFg5Laqm1FQuF97iFgituDxEEIIIcSJnTTJ0jQtCHwKuFtV1X8F6jRNexb4CvDpqWb3kkq+fqiq6gtT545RVfVOYBVwjaqq1y5c908fZ00NismEf9/ek7Y9ti4r0A+AQVFYluZgMpagLxTFlb0B08Y0FIuZkcce5fLsTWwpvpj+4CA/qfsN0amkqDTPTWmem7rWEcYmU0vijAYDt19Vibn8ILoxSW5bNXrIyDtuWonRZOCFJzWSSZ0lnhIuLbqAweAwWzueX6SoCCGEEGIu86qTpWna08DTrzv2peP+fNNJrv8V8Ks30sGzhcFmx7F8BYG6WqKDg1hyZl2WBkyVcQD6A6/NqqrpTvaPTKJNBLgsZw0Trhcwrc8itr2P0cf/xHtueS8TER97B2v5TcN9/E3NBzEoBi5dXcBvt2q8crCPGy5YAkC3fhCje5z4SB7h0Xz2vdrJO25eiboyl8YDffR3T1BQks4N5ddwYKiepzqeZ33u6mMjbEIIIYRYfLJ34Sk4+pWhf/+JR7PynTkYFAP7Bw8SiocAqPQ4MADaeBCDyY7TW4OhxooxI42xp58i1tPDB5e/j2XpFdQON/BA85/QdZ3Ny3OxmA28XNtLPJFkIDDIY21P4jQ5MfXX0KfoaIeHGBn0U1GVDUBLUyq5s5lsvG/Zu0noCe5reoiknly84AghhBBiGkmyToFzzVpQFCZ370JPzp2w2E12rim9nLHIOPc3PYyu69hNRkrcdroDYfyxOK7sjShmA7YrlkAyycA9/4sJA59Y9SEKXfm83LOdrR3PYbeaOH9FHsMTYf79d3v4Vf3viSXjfKDqJm65aDlxHbrQ2bejk4KSdGx2M23aEMlkqqLGquwVrMmuoW3iCNt6d6HrOh39k0SiidMUNSGEEOLcJEnWKTC5PThWrCRypJ2e7/03cZ9vzrbXLrmSMk8pewdr2dW/D4CqNAc6cHgiiMWei9VVSiJnEseaGsKtLfheeRm7yc6nV9+J15rOn9u2sr13N+/bspTzV+TRrR+kO9BNmb2KtTk1XLq6gLJ8N6PA/sYBJifClKtZhAIx+rsnjvXl1mXvwma08lDzX/j6b1/im7/Zzd0P1ZGUqvBCCCHEopEk6xTlf/yTONesJXiokY7/83VCh5tnbWc0GPnIig9gM9r4Q/MjDAaHUdNT+xs2TaQ2g3ZnbwLAenkpitXG0B8fID7pI92axmfXfAyHyc592kO0+A5zw5ZMrCUt6DELjdsKuGerRiKZ5I6rU7W1jqCze1vHsSnD1qkpw0gswd76SZK9VcT0CEPOvWR6rBzqGOPF/T2LGishhBDiXGa86667znQfpgkGo3edjuc4nVaCwegpX2ewWHBv3IzBYiVQux/fq6+gWCzYKpaiKMq0tg6znUxbOnsGazky0cmWoo0cGPEzGIpyUZ4Xiy2TwGgdsVgfnqKLCdbWkpj04Vq7HpfFxdL0Mnb372P/4EEOjR1mMjbJLeU3Mzpgpa51hAOHRzh/RS7JpE5L/yTjQwEuv6iMww2DjI0E6YjF+eljjezVhkgGPHhyfcQdA7z//I00HY5ysG2UTctzcdrMZySWYm4S04UnMV0cEteFJzFdWIsdT6fT+s25zkmS9QYoioK9shK7WkXgYB2BfXuJdHfhXLkSg9kyrW2BK5+R0CgNo00k0cmyl9LhD7PU48BrTbUN+w5jL6sk3jZGsP4g9mUq5qxsvLZ08p157B7Yjz/mZ2PuWt6jXsOFNfn4w3HqWkfYdrCf81fm0dI1zlgiSXIsRDipE5mIsLtzDN1k4JpNJXzyXStZV1TJq7276PB3cGP1JexpGqFrwM8FNXkzEsTTFUsxO4npwpOYLg6J68KTmC4sSbKO81ZIso4yZ2bhOe98wp0dBOsP4t+zG/syFVNa+rR2qncp+wZqqR9pYnXWCtr94DIZWZrmwGzLZnJ4D7HwANnrb8G37RXCba2kXXIZisFAnjOHLHsmAO9Xb8JiNGM0Gli9NIuCLCe1rcPsax6mJNfN6GSE1rEQE8EoWSiUF6bx+Y9sYFVFJlaLEbfFRTwZp37kEMU5buyxPOrbR3HZzZQXpJ3RWIrpJKYLT2K6OCSuC09iurDOZJIla7LeJFNaOkVf/P/IeOf1xIaG6Pr3/5+Jl15EP25Ruc1k46Mrb0NRFJ7t+CMmBbSpdVkGoxVX5jqS8QCJ9CBpl11OtL+P0a1PHLt+U946PlHzIZxmx7Rnb6zK4Rsf3cSSPDetvT5sZgNpVhOZKOjo+PsmmRgKTLvmqtLLUFBoGW/ng9eouOxm/vhCKwOnaTsjIYQQ4lwhSdYCUIxGsm66hYLPfwHFYmXgt79m4Ne/IBmJHGuzxFPCDWXXMBEdw6yMMRCKMh5JVXZPLYA3MDm4g8x334zR42H08ceIDs3YInKGnHQ7//zB9Vy9sZhwLInBYuRvP7IBt9tGMqnzyO/2s/WRBsZHU0mUzWQj055Bb6Afj8PMHVcvIxpP8su/HDpW9kEIIYQQb54kWQvItWoNpd/4JtYlZfhe3cbgvfdMO39l6aUsS69gNNgAvPaVocmShsO7nFh4kFiin+z33YYeizF47++mjYjNxWQ08P4rKrl8XSFjkxF6JyNc9s7UV4d2Z6pu1h9+sZuXtjYT9EcodOYRiAXxRSfZVJ3LhqocWroneGZP1wJHRAghhDh3SZK1wMyZWRR/+Z8xZWTgr90/rWipQTHwoeXvw8wwAHUjY8fOeXLOA2BycAfuTZtxVK8gWF+Hf9+ekz5Tj8fxbd/Gea/ex+3dT3Lwhd0UlqZjs5tQULjqxuW402007O/l3p/uRB+1AdDj7wPgjquX4XaYeeilNvpGAid6lBBCCCHmSZKsRWAwm3FUryAZCBDpnj465LWlc1vVtSQSYxyZjBCMpaYULY4CrK5SwpOtxMJD5NzxQRSTicH77yUZDs36nEQoxOjWJ2j/py/R/8ufo/d0UhweZPPOP9D9059SWuohGIjicFp438c2csk1lZgtRsa0VOLXO7WBtftfKg4AACAASURBVMdh4YNXq8TiSX4l04ZCCCHEgpAka5E4qqoBCDUdmnFuTfZKcm0xUIzc1/zKsePu40azLLl5ZLzzehLj4ww/+si062Ojoww9+Hvav/T3DD/4BxLBAOlXXEXZv/8X/e/+OP3WDMJ7d+J46SEAWhoHMBoNrFhbyO1/u5l0MgDomew7ds8NVTlsXp5La6+Prbs7FzYYQgghxDlIkqxFYp9KsoKHGmc9f/2SGgAOjU/SPNaausazDJM1g8DYQRIxP95r34k5N5fxZ58m3NlBpKuTvl/+jPZ/+kfGtj6JYjaT+Z6bKf/P75DzgdsxZ2ez7opN3Ft6HdvLLiUzOYo5EaZlXzuTdbUAmC0m1JISlKSBzvHpFd9vv2oZHqeFR15qp2dYpg2FEEKIN0OSrEVi9nox5+URbG5Gj8dnnK/wuDEbwGwq4cBgPZAqcurOPg/0BJPDuzGYLeTc/iHQdbr/+z/p+ObXmdz+KpacXHI/cidl//kdMq+7AaPLdey+LruZNctyedFYivK5f6bQEydisNH4s/vouft7RAcGKKvMxhpyMRgZJpFMTLv2w9eoxBNJfvWXRhIn2ARbCCGEECcmSdYiclQtR4+ECXccmXHOaFBY5nFgMLhp9Y0cO+7MXI3BaMc/tIdkMoZz+Qrc519AMhjEvkyl4PNfoPSb/0raRZdgMM++Hc7Fq/IB2HZ4gpXXXwDAaNEaAnW1dHzjqzgOPI/b7yRJgqHQyLRr1y7L5vwVebT3TfLkTpk2FEIIId4oSbIWkeMkU4bLvW4AxhMr6fZPFSc1mHFlrSeZCBEYrQMg7yMfo+xb36b4S/+Ea9UaFMOJ/7EtX5KB121lZ+MAWflurDYTg65S8j7xKYxuD+NP/oV37juCJZbk8EDHjOtvu6qSNJeFR19u50i/7w2/vxBCCHEukyRrETnUKgCCsyx+B1iV6SbLMorR6OWnTb28OjCOruu4szeCkipOqus6itGIOSt73s81GBQurMknHE2wv2WYcjWboD+KP19lyb/+B+7N55M+NsGNz0/QcqRlxvVOm5k731lNMqnz/QfrGBqf/etGIYQQQsxNkqxFZHS7sRaXEG45TDI2c98ko6JwSa6FQHArBhI83jnE/x7uJYgdp7eGeGSEsO/wG3r2RTV5ALxS10dFVSpBa2sawmC1kvexj2Nau5aC4RiVW1+ZVpn+qJryTD5wZSW+QJTvPVCLPxR7Q/0QQgghzlWSZC0yR1U1ejxOuLV11vNlaaXEE53kWw5Q6XHQPBHk7vpO+u3rAfAN7nhDz83xOqgqSaepcxyz24LVZqJVG0qNjBkMLPnbz9BSbCdnJEDX974za6J15YZirt1cQv9okP/5Yy3RWGKWJwkhhBBiNpJkLTJ79dS6rKbZ12Vl2Ly4LS66Jlv58LICrivOIpxIcm9HiB3GywhMdhIN9s167clcNLUA/tXGQcqWZRH0R+nrngDAYDKx/2KVw8VWIi3N9P7gf0hGZ4623XxZBeetyKW1x8dPH2uQQqVCCCHEPEmStcjslSoYDAQPzb4uS1EUyjyljEcmmIhMcGGel08tLybbZuFAJJ+HE9fQ1rv/DT17vZqDzWJk28E+ytXXpgyPKs0s4skLPYznFRM81EjvD++eMa1pUBTufGc11aVe9h8e5t5nmue1n6IQQghxrpMka5EZ7XZsS8oIt7fNuT1OWVoJAO2+VMmEAoeVzywvZlO2h1HSuXesjFd7+0/52Vazkc3LcxmbjDCh61htJtqmpgwByrKKSRoUni+vxFGzmmBDPb0//AHJ2PT1Vyajgc+8p4aibBfP7+vhrztmfpEohBBCiOkkyToNHFXVkEwSbG6e9XyZJ5VkHZl4rS6VxWjg3UtyuSU3hJkEj/dM0jxx6lXYj04Zbqvvp2xZFgF/lP6pKcMCV+pcwOYnce1tOFauIlhfR9+PfzCjgKrDZuKL711NhsfKQy+28Wr9G5vCFEIIIc4VkmSdBo7q5cDs+xgClHiKMSgG2n0zR4jWFi3nXZZXAZ0nOodInuJUXXm+h4IsJ/sPD1FYntqzsHVqyjDfmQtA2DFJR/sEBZ/5LI7lKwjU1dL7kx/OSLS8bitfvHU1DquJX/+1iYYjo6fUFyGEEOJcIknWaWCrWIpiMs1ZL8tqtFDozKNzsod4cnpioxhMLMmpRFXaGQjH2D8yeUrPVhSFi2ryiSd0Oicj06YMbSYrWbYMIo5J2luGUExmCj77d9irqgkc2E/fz35MYnL68wqzXXzu5hoUBX748EE6B07en0QyyfB4iFhcvk4UQghx7jCd6Q6cCwwWC7aKpYSaNRJ+/7S9Bo9aklZKl7+Xbn8vS6amD49yZaxhY98vaEmU8nT3CKsyXJhPUvX9eOevzOOhF1t5pb6PS5dl0VTXT3/3BPnF6RS48hkONzAR9jM84Cc7z03h575Az93fw79vL/4D+3Go1bg2bMS1dh0mjwe1xMvHb1jBTx6t53sP1vLdgnSi0QRD4yEGx0MMjoWO/XloLMSIL0wiqZPusvC371qBWuJ90zEVQgghznbGu+6660z3YZpgMHrX6XiO02klGJxZsmCxxEdHCDUdwlZWjrWgYMb5QCxI7XADBc68YwvhjzKY7CT9LYQjfjoSWViNBpa47fN+ts1ipKN/Eq1znItW5dPbNorJbKS0IpO+wAAt4+24JrLwmtIpLPWimEy4N2zE4HSSDAYJHW4mUHeAsaeeJNisoUcilFYW40xzsVcb4ontR3hs2xGe39/DrkODNBwZ5Uj/JEPjIYwGhcJsJx6jgcHJCNvq+9F1ncriNAyK8mbD+rZ1un8/zwUS08UhcV14EtOFtdjxdDqt35zrnIxknSaO6uWM/OkRgk2NuNdvmHH+aGJ1xDf7pszOjDWsmfwrTXoVL/SNsT7Lg8s8/398F63KZ//hYZpGAjicFg43DnD+lnIKnKnK8FGnnyMtI2y8uAwAg9VKxjXXknHNtcRGhvHv3cvk3t2Emg4RajrE4H2/o3ppJXdmlvNyLBuTN4Ncr51sr52cdDvZU3/ZrSb6uyd45Hf7cRkM9DnNPLbtCE2d43zihuVkeGynGkohhBDiLUGSrNPEtqQMxWolNEe9rGx7Fk6zg/aJ2csjONKrsXU/wXq9iVdiK3i+d4wbSue/n2FNeSYep4WdjQN8YFUBtbu6adOGKVyS+sLQkB1huM6P3xfG9brEx5yZhffqa/BefQ2x0VH8+/fi37uH0OFmcvRmbgZM3gxs5eXYDUuxZVZgzUjHMJUEHtjVlXqHJNy2qYTt3ePs1Yb4xq928bHrlrOmMmve7yGEEEK8VUiSdZooJhP2SpVgfR3x8TFM6dPXJaWKkpZQP9LERGSSNKt72nmD0YIjfTnVI3U0mFewc2icC3LTyLRZ5vV8k9HABSvzeHJnJ3G3FYBDtX1cX12DyWAi4vQDcKRlhJXrCue8jzkjA+8VV+G94iriE+P49+0l3tLExCEN/949+PfuSTU0GrGVlmIoKCVwOEl2bjFDASMdTUN8+o61vHCgl/ufOczdD9Vx1YZibrmsArNJvsMQQgjx9iFrsk6j+MQ4wcYGrCWlWIuKZ5wfDo3SPN5KRXoZec6cGecNJhuh0QOk2dNojqThjyWoyXDPaDcXr9vKc/t6iAOlHhu9neMsW5GHNtnEcHSYzJ5y9KTOspV587qfwWbDVlZO6TuuwHLRFtIuuAhbeQWm9HT0ZJJIZyexjjZyAx3kDtRREO+j32+meE0F1eWZrKnMQusco7Z1hIOtI1SXenHZzfN+n7czWZOx8CSmi0PiuvAkpgvrTK7JkqGD08hRdXQfw9mnDI9Vfp9jytDqLMFk8VIc2kmRw8LBMT9d/vC8n1+Q5aSi0END+yglamqK7lBtHwWufOJ6HGehTk/HONFI/CR3mklRFMzZ2Xg2n0fObXdQ+i/foPjbd7O/9Do6Cs7DUbMa2+Qg63q30nP394n291Gc4+LrH97IRavy6RiY5K7f7GZHw6lXthdCCCHORpJknUbW4hIMDuecSVappxgFZc7F74qi4MxcDcS5zDMOwBNdQ6e0l+DFqwrQgd9uayehwN5dXdQejADQlhgmmdT571/u4q5f7eK/7ttH16D/lN7xeIcahhk1Z5N93Tsp+rsvUvDlrzHuyMPc3cyRb/wLg/fdgykS5M53VvOJG1IFW3/250bueUojkUy+4ecKIYQQZ4N5rclSVfVK4CZgENA1Tfvm685/GcgD+oH1wNc1TWtSVTUH+DXwCpADWIDPaZp2Tv4XVDEYcKhV+PfvJTY0hDl7+sJ1u8lGvjOXDl8XiWQCo8E44x7OjNVM9L1ARmgv1env4NB4gKbxANXembW3ZrOxKodX6voY8YXxmZJ4Yzq2ES/hbBi3TJBHDoo/ylAkRmgwwfcfrOVrH95Aust6Su+aSCSp39uD2WKkenWqZIWrsoLA1R+mY8cu1kQPMv7cs/i2v0rGdTew6YqrKCvYyA8fruf5fT0MjYf41I0rsVtl2aAQQoi3ppOOZKmq6gB+AnxR07S7gFWqql7xumYu4O81TftP4CHg21PHTcCjmqb9h6ZpXwQuAs5fqM6/Fdmrj04ZNs56fomnhGgyRm9g9mkzkyUNm7uMaKCbK7JNKMCT3cMk5jmaZbea+OcPruc7n7mQT34oVUpiY0YqCVqx0oLTbSXXYuL//t3F3HJZBWOTEf7nj3VEoqdWrb3l0CABf5TqVflYba8lSuqqfIZdpXRd9BGy338bKAaG//gAR772Tzha6vnK7WupKc+kvm2U//jdXkYm5j8dKoQQQpxN5jNdeD7QoWlaZOrnbcB1xzfQNO1rmqYd/a+8AfBPHe/VNO3nAKqqukglY7MvODpHHFuXNUcph7K0UgDaJ2afMoRUzSwAR/AgG7I9DIVj7B3ynXJfMrKd5BZ66DsySVrcS0+gnyWVmUTCcfq7fVy7uSS1Xqp/kp8/3jjvfRN1Xad2VxeKAjUbpn+pmF+chjvNRuvhUVyXbKHsP/4L71XXEB8bo++nP2L4u9/iDls77/MM4Gg/xM9//Dht9S0kgsFTmhYVQgghzrT5zMXkAMdvUOebOjaDqqoW4MPAZ153/P3Ap4D/0jSt+0QP83odmEwzp8kWQ3b2/L/MWyh6lkqvN51wcxNZWS6U11U9X2+p5t4m6Iv0ztm/zIyNjPU8QWi8nls3XUvtS4d4vn+UK9R8bKcYu00XlvHnB2opmlxGo2kX1WtyadjXy0CPj9Xri/n72zfgC25nX/MQT+zq4iPXr5j1Psf3ta15iJHBAMtXF1BROfNXZe2mEl56upmhPj+rNxST99lPELr5XXT87z2MbN9BuK2VMqBsqn38+4/TCihmM+a0NMxpadjycln6mU9icjpP6X3fSs7E7+fbncR0cUhcF57EdGGdqXjOJ8kaBI7vnWfq2DRTCdaPga9qmtZ6/DlN036vquoDwHOqqnZpmvbXuR42NhacV8ffrOxsN0NDp7bZ8kKxLaticucOeuo0rAXTR3rMugO7yUbTYOsJ++dIW45/ZB+TvY1clOvlud5RHq3v4orCzFPqS26RB7PFSKLbi56uM2kax2wx0ljby5rzilEUhb+5rpp/u2cvDz3fgttm4pLV07cFen0sX3qmGYCq1XmzvkNReapG2J5Xj1BQmp46aHKS+bFP4r7+PcRGhklM+khM+OjtHEA71IUtFqLIqWNMhgl2dhJobcW0VCXt4ktP6X3fKs7k7+fblcR0cUhcF57EdGEtdjxPlMDNZ7pwO1CqqurRlc8XAn9RVTVDVVUPgKqqduCnwHc1TdurqurNU8cvVVV1E8DUYvcOoPwNv8nbxIlKORgUA0s8JQyGhvHHAnPew5mZmjIMjNRycZ4Xp8nIy/1jTMZOrfyC2WKkcnkOyZAB10Q2/eEBissy8I2HGR9JJbwuu5kv3LoKp83EPVs1Dh0ZnfN+Y8MBOltHySvykFvgmbVNmtdOXlEaPR3jTL5uzZUlNxfn8hV4Np+P9+prWPE3H2L9P36eZ5a9g++nXcFLl32cwn+5K/XuDQ2n9K5CCCHE6XTSJEvTtCCpqb67VVX9V6BO07Rnga8An55qdi+p5OuHqqq+MHUOIAz8o6qq/6yq6n8ACqmvDc9pjqpUuYK5tthZ4pnax/AE67IsjkJM1kyCE02Y9QhXFGYQTeo82zNyyv2pXp3aWidjqJhef2pdFqSqvx+V63Xw2ZtqAPjhI/X0jcyeANbuTs0Gr944s9jq8dSaXACaGwZO2r/SPDdf+/BGSnJcvFTby49eGsDozSDY2IAupR6EEEKcpeb1fbymaU8DT7/u2JeO+/NNc1y3E7j1zXTw7cicnY0pK4ug1oSeTKIYpue6xxa/+zpZmVU96z0URcGVuYbx3mcJjDewMWs92wcm2DXkY2WGm6Uex7z7k53nJiPHgT6YQ89oO9evzkRR4MjhYdaeV3KsnVri5SPXVvHLvxzifx6s46sfWo/b8dq2PsFAlOb6fjzpNpacZD/CCjWHV55uQTvYz7rzS2asTXs9r9vKV+5Yx88ea+RAyzDV5lwqxw4RPnIEe/k5PzgqhBDiLCTFSM8QR1U1yWCASNfM0aolntQo0IlGsgAcGasAhcDIAYwGhVvLcjEo8Me2foLx+ZdcUBSFFWsKUTAQaFew2c3kF6XR3+MjGJi+FcGFNflcf0Epg+MhfvDwQWLx10aSGvb1kEjorN5YjMFw4qTJajNRtiyLibEQA73z+zLSZjHx2ZtquHxdIfWGVI2xYMPBeb+nEEIIcTpJknWGnGhdltPsINeRzRFfJ0l97ukwk9mNzVNBNNhLLDREkcvGVYWZ+GIJHm4fOKWSB5XLc8CQxNGfy0TER9myVBLzp/sO0Nc1Pq3tuy8uZ2NVDoe7J/jNE4fQdZ14LEH9vl6sNhNqzfz2PlSn9kjUDs5/Kx2DQeEDV1QSKignicLYgbp5XyuEEEKcTpJknSGv1cuavShpmaeUcCJCf2DGh5zTODNWA+AfPQDAxXleytx2GscD7D6F2llWmxlHsY414qSxuZMV6wqoWV/I+EiQR+89wEtPNR/b09CgKHzsumrKCzz092k88/R9tNbvIhEPsnxtAWbL/MpIFC3x4nRZaDk0SDw2/5E3k9HATdespM+aSbyzjXjw9HyRKoQQQpwKSbLOEFO6F0tePqHDzejxmV8ELjm6WbTvxLVbHWkqBqONwOhBdD2JQVF4b3kudqOBv3QNMRia/87jpSvSAGitH8ZoNHDRVZW854Nr8WY6aNjXy+9/sZsjLcMAmE0GPn7ZJB/aUE8GB7DzNFddvp3irK2Mdj9JcPwQiRN8HQmpUanKFblEI4lpi+znY1VFFoHCCgy6TuPzO0/p2tcLReLETmF6VQghhJgPSbLOIHt1NXokQri9fca58nlUfgdQDCYc3hqScT9hXwsAaRYz71mSQyyp80BbP/F5foG3rLyIsM3PZJdOOBQDIK8wjVs/uoENF5YSCkR54o/1PPNYLQMtfyAy8jKKyc3W+iqaW0rxh7NIxsbwD+1iuP1Beuq/Q9+hHzPa9VcCYw0kE5EZzzw6tXgqU4ZHrb76QgDaX9k9bW3YfCV1nSd3dvJ3d7/Mb55oOuXrhRBCiBORJOsMcqhVAIRaDs84l+/MxWK00O47cZIF4Mw8OmVYe+zYygw3G7I89AYjPD3Psg65jmx8Od2QVNDqX0t6jCYDGy8u49aPbqB4iYH89KeJ+ptJkE9B1cdxJyo43FrK/ftXkV75RXIqP0Ja/uXY3OXEo+P4h/cwcuQh+pt+NmN0KyPLSXaem672UQL+mUnYiRStWU7cbCVvrJNn9nad0rUjE2H++/79PPB8C/GEzr7mYeIJKQchxMmE4xFGQnPXyhNCvEaSrDPIWlgEQLSvd8Y5g2JgibuY/sAAwVjohPex2PMx23IITWgk4q+tT7quJJtMq5mX+8dpmTj5uiWjwYi1JIauJDl0oG/Gwnm7tY/Vy3fgdgfp6Cpk61MV/PkPzYz1T2JOs9I7GeVnj2uYHUWk5V1MztI7KFr1JXKX3Ykrcx3x6BhDbfeTTEyfwqyqyUPX4fA8amYdTzGZcFUvxxv389LzdUwE5jc1uqOhn6//ahdNneOsrczivBW5RGIJWnsmTun5QpyLft1wL1/f/i3+z45v82jLX2kebjvhBzpCnMskyTqDzNk5YDQS7e+b9fzRelkdvhOP0iiKkloArycJjtUfO241GnhfeR4GBR5s7ycwj8Xl+RnZ+Lz9jI0Ej5VW0HUd38A2hlrvR0/GyCh5F6svuY2iJZn096TaXHn1MlZVZNLQPspDL7Yd1zcjVmcR3uLrcGasJhrsZeTIw+jH/Ut56fIcDAYFrf7UvogE8KxKFUgtmOjikZdaT9g2EI7xkz/V87M/N5JM6nzk2io+e1MNm6tThVHr2+X/zoU4kYmIj4YRDafZwWh4nKc7X+Bfnv02X932b9zf9BANI03Ekqe264QQb2fGu+6660z3YZpgMHrX6XiO02klGJz/ovDFoBgMTO7aSWx4CO+1180oyBlNRtkzcIBsRyaV3ooT3stk9TI5uINooJtYZBQ9GcdodpNus2NUFBrHAwyHo6zKmLkp9fGGgsM0+BrxjhSBDqUVHkY7/sTk0E6MZjc5FbfjSFuG1WamckUu6ZkOypZmU65msboii33NQxxoGSbXa6cox/XauyoK9rRKooEewpMtJONBbJ6lKIqCyWxkeMBPX9cESyqzcLqsc/bv9YxOF+PPPo3VauYvvkzWLM0ifZbrG4+M8t0/1NLa46Oi0MM/vG8Ny5dkoCgK6S4LT+7sJBJLcOmawlmecvqdDb+fbzcS0zfv1d6dNI42856l13HnittY4inG7XTQ4+unZaKd3QP7eaHrFbr9vSSTCbLsWRgNp7ZpvZDf1YW22PF0Oq3fnOvcvCq+i8Vjycsn2tdLYmICU3r6tHNHt9c52eJ3AKPZRXrBlfgGXiEwsp/AyH5AweIooMZdgeYo5tB4gF1DPjbnpM15nwJXPgHPCEanTsuhQSpKXoZ4HxZnEdll78Vonp44VS7PPbb5psNm4nM31/Cvv93Dr59oIj/TSWme+7j2RrLKbmXg8G/4f+ydZ2BU15m/n3unF426RqNeUQchOhgMtsGAO+5O3JI4iVM2bbMp25LdTfmnbzbN6Y7juMSOjRsGjLHpIEBdaCTUuzQjaWak6eX/YWgClREII/A8n2DuveecezQz9zfvec/vHTUdRSLTEZl4HRBMgG9tNGGs6SM+MfRq6bL4eGQJelJGehFi/Dy3q4mvPbTwjJD0eH289F4LO492IhEF7lqdyeYV6UjOcdlXyqXkpkRi7BjBZnePc7EPEybMWcr7KxEFkbKE+cglcubHF3Fj4XL6Myy0WNqpGqylerCO4wPVHB+opji2gCcXPH6lhx0mzBUjvFx4hZEbgnUDJ8rLipBriVPFTmtKehqdfgXJJV9BP+/jRBrWotCk4Lb3MNq/h+tc/0CBmzfb+2jrqcA+XM+ouQLrwGEsfXsZ6X6Hoc63UI9UggCe+Ha8Xj8H9icgqhejz3l0nMCaDEOshiduK8Lr9fN//6jGel6elChREJ/9EBKZDkvvu4wNBR3b07JiUKplNNUP4JthArq6qAjB7eL6WDeNnSMcMw4SCAQ4cLKJf39+GzuPdpIYo+abDy/itlWZ4wTWaYoyYwgAJ9qHZ9R3mDAfFvrtg3TYusiPySVCPv67QBREcqIyuTv3Nr614mt8c+mXSNelUms+Qe/YzHItw4S5lgiLrCuM3JAETCyyADJ1adi9DgbtppDaEwQRhSaZyMQ16Oc9Tsr8rxKXeR+JcYWsk9fiReTlbg/9rf9gqON1Rrq3Y+ndjXXgAKOmo4iWBpQC9CYYSTKYGB6J5J3tkfR0hm5sWpoTx52rMxmyuvjVq7UX7NqTyiKIz34IQaLA3LEVp60ViUQktzABp8NDR/PMPLM0RcG8rDURNiSiwJ+3NfDV3+3mr81PYzXsZVWZjv98fAmZBt2kbRRlxgDhvKwwYSbjaH/Q8HiJfuGU5wmCQLLWwIa0tQDs6Tp4uYcWJsycJSyyrjBnRNY0ye8tIVg5TIQoUaKOyicm7RZWz7+PsmgFZqI5orqT6NQ7iMu8l/jsj6Cf9ziJ+Z8iuegLJOvSGcHPzR+5jVU35eByenn9+SoqD3eGnJh+68oMFuXF09g5wgu7Tl5436oE4jPvBwQGWl7gUGUtNeagvcMbr5/g2Z1GDtX3MTDimLZPf1o2AVGk98gxfP4AdpcXq9iDIHMjCAGiMntRyKbOC0nTR6BVyahrHZpx8n2YMNc6gUCAo30VyEQZ8+MKQ7qmJK6QKEUkh/uO4vA6L/MIw4SZm4Rzsq4w8sSgGae7dxKRdSovq83SzgrD4kvqSxAEbstModfVRdUoyFU67khPQDwvET5Zm0yzpZ1++wDzF6cSr9eyY2s9B3c3099jZd3mPOSKqd86wqnSO31DdnYd7yJNr2X1gqCgdLi8NHQMU9/qxmktZH12DRrHGxh7FmAQVeg8fo4f62bXsW4AtCoZWUk6sgw6MpN0ZBp0KGQSqptNHKjto7rZzP3yeFJt/ZSUKmgwOfEMJZBblMuwr5/9PYfZlHETaplq0vGKgkBhRjRHTgzQa7aTFKe5pLkOE+ZaosPWxYDDxKKEBSilypCukYgSViev4PWWtzncd4y1Kasu8yjDhJl7hEXWFUZUKpHGxOCaZLkwWWtAJspCMiUNBYVE5ON5yfzR2H2mtuH5QitZGxR+3aN9pOtSMaRGce9ji9ixtZ4W4yBDpjE23lVE9DRCRCmX8vktJfz300d5ZoeR3iE7zd0WWnqs+PzBaJFCFkNiZBElcXV8eX0rWv0DvPjHauZrVegXJdHaZ6Olx0p1s5nqc5YR5VIR9ymX95R4DRpdEcLRfu7Pwgg7awAAIABJREFUdvJdlRFPSz6awSUsWDDM1uZt7O85zPr0tVOOtygzhiMnBqhrHQqLrDBhzuHMUmHi1EuF57MqaSnbWneyp+sg1yevnHJnc5gw1yJhkTUHkBuSsNfV4rPbkajV445JRAlpESm0WNowO4aJVUVfcn9qqYSPnSO0AgG4M+Os0ErSBpPxe8bORtfUWgW3PbCAw++1UFXexUtPH2Pd5nxyChKm7CshWs2n7yjmJy9W8vbhDgQBMhJ1FGVGU5QRQ3ZyJBJRYLhLzaipHM/ImxSWLqauop9UhZSNdxYDYBlz09pjpaXXQmuPlSGbi/nZsawoSiRNH4GzLYGOo+9y4tDb+BcKxA4XcrR+iHULi5FLdvFe137WpV6HVJz8LV+UEczLqmsbYv2S1Eua4zBhrhX8AT/H+itRS1UUxMyb0bURci0LExZQ3n8c4/BJ8mNyL9Mow4SZm4RF1hxAbjBgr6vF3deLKutCP6wF8UU0W1r5XvnPeDBvC4v0Cy65z3OF1lFTMKJ1WmglaYLmnD2j4+sJSiQiK2/MISFJx+63Gti5tZ7+Hiu33Tv1eIoyY/jnBxYy5vBQkBGNRim74JzolJvxeaw4LEYK8hIw1qoo39fGvCI9MrmUSI2c0tw4SnPjJuxDkZaOT6Ugqt1M6YbrWZ0znx8+V8lzO9ooKFhOpWMPxweqWZpYNuk4Y3RKkuI0NHQM4/H6kUnDKYthwjQNt2Bx21iVtGzKHymTcX3KSsr7j7On60BYZIX50BF+iswBpttheEPqah7I24LX7+WPdc/yl/oXZiWR9LTQSlIrOGqy8mrbAP5AAKVUSawy+gKRdZqcggTueXQRUbFqqsu7+OtTh3A5p3Z5LkiPZnF+woQCC4K7ImMztiCRR+EYOUrZsigcYx6qyrtCupde+wAtCQIRDj/3RK6kID2G60oMdA2OcmiPGnf9Cl45UoXHO7XrfVFGDG6Pn5NdIyH1G+aD5WBPOSdHLiyoHubyUd5fAcASfelFXZ+hSyUtIplqUz1DzrBFSpgPF2GRNQc4K7ImTn4XBIHVycv5xpIvkBaRzOG+Y3zvyM9osbRdct9qqYSP5yWTfEpovXJKaCVpE7F5RrG5Rye8LjpOw92PlJE5L472ZjNvvFg1rdCaDlGUEZV0AwR8pBqMKNUyKg93Yp+mJqHX7+Xp+udpSwwKOKExWNbn8c35fP0jZSyaF49/TEd/fTpf+dU+3jjQhm0S998zVg5tYSuHuUbVYC1/bfg7v6j83bSlpsLMDh6fh8rBGqIUkWRHZV5UG4IgsCZlFQEC7O0+NMsjDBNmbhMWWXOAM4akk9g4nEavSeAriz7LhvR1DDmH+cmxX/NGy3Z8/ulrEk6F6lREK1mt4NgpoWXQnE5+n3xMcoWUDXcWMX9xCgM9Nt54oQqX03NJY1FHFSFXJ+G0nmDZKhUet49j+9unvOat1nfoGu0hfsESAMbqgvUbBUFgXmoUn91Swuc/moFE34bd5eEfe1r4518d4M/bGug2jY1rKy81CqlEoC7slzWncHidvNi4FYkgwev38VT1nxlxhQt6X27qhow4vE4W60sRhYt/XCxKWIBGpuZAzxE8vkv7jggT5moiLLLmABJtBKJGM+ly4blIRSl3ZG/ii2WfJloZxba2Xfz4+K8YCNGsdDLOF1q9zqBxZ8NQ05TXiaLA7feXkleSyECvjdefr74koSUIAtHJGwCI0Vaii1JQX9mDZdgx4fktljZ2tO8mVhnD7WX3IU9KxtFoxO8ZH6lamJJNwXwX8tJdbF6tJ0orZ09VD//++8P8+IVKOvptACjkEnJToujoH73ArT7MleP1lu2MuCzcnHEDd+ZsxuK28VT107jDD+zLytG+4FLh4mkMSKdDLpGx0rCUUc8YxweqZ2NoYcJcFYRF1hxAEATkhiQ8AwP4PaE9NHKiMvnm0i+yRL+Qdmsn3yv/GQd6jlySkea5Qqt9LAaJIKNisGbaNkVRYO2mPPJLEhnss/H68xcf0bK4bEjUSaiiCnDbu1h+Hfj9AY7sabngXKfXxdP1LwDwSOH9KKVK1EXFBNxuHE0XisMb09YgSHw4Yur43idX8LktJeSlRlHXOsTPX67G5QlGBE8vGdaHlwznBK2WDvZ0HUCvTmBD+jpuTF3D8sTFdNi6+OuJF8PmsZcJh9dJjfkEieoEUk7tOL4UVicvR0Dg/e4DszC6MGGuDsIia44gNxggEMAzEHqdL5VUxWNFD/J44YNIBJFnG17i6frnQ6pzOHmbQaGVqtUgSlIxOcxTLhmeRhQF1m7OI39+IoN9o7z2XBVOx8yEVtNwC/924Dv8y95vsd1mJYCAnMMkGNScPDHIQO/40j6vNL+JyWHmxrQ15JzKF9EUBS0f7KeWDM+lJK6ABFUcR/sqsHlslM2L52sfKWPTsjSGrC62Hw56kZ2xcggvGV5xfH4fzxlfJkCAB/O2IBOlCILAA/lbyIpM59hAFdvb373Sw7wmqRysxev3siRx4az4W8WqYiiOy6fd2hnOqQvzoSEssuYIimmS36diceJCvrHkS2Tq0ijvr+C15rcvaSwqqYTH5yUTpQzaSbzbdTyk6wQhGNEqWGDA1D/K68+HLrR8fh8vNr6KP+AnQqbloMnIUaeLgMeKLDP4y3f3zvoz+Wd15gb2dR8iSZPIrVk3nx177jwEqfRMXta5iILIDWlr8AZ8vN919tf0rSsz0GnkvHW4nSGrk1S9lgi1jNq2cImdK827nXvpHu1lpWEpudFZZ16XiVKeKHmEaEUUr7dsp3Kg5gqO8trk7FLhxe0qnIjrk4Ou7+d+/sKEuZYJi6w5wnQ2DtMRq4rmMws+RoI6jp0d73Ggp/ySxqOSSng4bykg4Vh/DTZPaDsHBUHg+o3zzgqtECNae7sP0TPWx0rDEr698uv85/KvEpt0A24E8jUWXLG9DPU4+a/Xf8mf6v7Gsyf+jkSQ8GjhA8jO8e4RFQpUuXm4uzrxjlxow7AscRFamYa93Qdx+YI5VyqFlLvXZOH2+Hnp/WZEQaAoIwbLqPtMYrzZ6eZX9R202ibODQsz+5gcZt5s3UmETMtdOZsvOK6TR/Dp+Y8hF2U8Xf88nbaL++yEuRCLy4Zx+CSZujTiVLGz1m5eTA4J6jiODVQx6h6b/oIwYa5ywiJrjiBPPLXD8CIiWadRy9Q8Of9xNFI1zxlfpnG4+ZLGlB0ZSXJEFl7/ME831OMPMapzWmgVlhowDYzy2nOVOCaxTACwuUd5o3U7KqmK27M3AZCgjmdt+g0kJN+EUhRYv9wHBIjpyOZoXyUWt41bszaQEpF0QXvq4lNLhifqLjgml8hYk7wCu9fBwd6zQnTVfAPpiREcquunudtyJi/r9JLhe73DdI252No+EPI8TEUgEAhHyaYgEAjwvPEVPH4P9+TehlqmnvC8lIgkHi16ELffw1PVf8bqtn3AI702OT5QRYDAJSe8n48oiKxJXonX7+VA75FZbTtMmLlIWGTNEaSxsQhy+UVHsk6ToI7niZKHERD4fc0zDNgHL6m9G1OCDuktlgZ294SeoyQIAmtunkfRwiTMA2O8/lzVpEJra/M2HF4nt2ZtIEKuHXcsIm4JUnk0Ed42ihZokI9peDjyYzxR8gg3pV0/YXuawqDIGqu9cMkQYE3KSqSilN0de8/kr4mCwIM3Bt2o//ZOE/npwfJFda1D2DxeKs3Bh/eAw02F+dIe5CMuCz8+9kt+WfWHS2rnWuZofyUnhhopiJnHommWq0rji7kt62aGXSP8tvovePyX5tcWJjj/oiBSpp8/620vS1yEXCJnT9fBS8ofDRPmaiAssuYIgigi1yfi7u8j4L+0L57c6GwezNvCmNfOr6v/xJjHftFtlcQVIhEkBHxtvNszRLM19LYEQWD1hlyKypIwD46x/R91F0Rv2qwdHOwtJ0mTyOqk5Re2IUqJSroR8JOb1YxEItB0ZJji6IJJfXvkKSlIIiOx19dNOJcRci3LEhdhcg5RNXg22jUvNYqlBQm09loxdgyTHK/B2DnC/t5hfIEAaw3RSAWBd7rMeC7yb9Q92ssPj/6CVmsHJ4YaZ8W5/1pjzGPnpabXkIkyHsjbElLS9c3pN7BYX0qrtZ3nGl4ORwkvgQG7iTZrB3nROejkEbPevlqmYmliGcOuEWpMJ2a9/TBh5hJhkTWHkBuSCLjdeIfMl9zWiqQlrE9by4DdxO9rnrlow1K1TEVedA5unwl/wMqLLX0h52fBKaG1Ppf07Fh6uyx0tJyNhvkDfl4wvgrAffPuRCJKJmxDFVWAXJOCx95E2TIZo1YXtccmj/gJgoCmsBifzYqra+JdTDekrgZgV/v7uAcH8LuDUbZ71+Ygk4q89F4zealReP0BDvYPI8HLu21PESMbxOLxcrB/5kaYJ8yN/OTYrxhxWdCrg4W1u8J5RBfw6sk3GfWMcUvmeuJUMSFdIwgCH8m/l/SIVA73HWNX557LPMoLuRLCzu1zz3rk7lh/JQBLZnmp8FyuT14JwJ5wAnyYa5ywyJpDnHF+v4S8rHO5PXsjC+KKaBxp5nnjKxf9EChNCC6/ZakHsXl8/L2lf0Z5SYIgsOz6oMVC+d62M+M42FtOh62LxfrScTvHJrr+tEFpUnwdcoWE4wfbp0yoP5OXdc4uQ7/HjbOtDcue9xFe3c6ju51s/MMx2r7xL/T88ucAxEYq2bg0jZFRNx3WHiLKBvAgMOaqxum102R+EwJu3u0x4ZimDuK57O8+zK+q/4g34ONjRQ+xOeNGADpHu0Nu48NA03AzB3rLSdYazgjhUJFLZHxy/iNEynW8evIt6szGyzTKC+mwdfFvB77LC8ZXPxCx5fK5ebttF9/Y9z/896EfTVpndKYEAgHK+yuQiVLmxxfNSpsTkaRNJDcqi4bhJvrGBi5bP2HCXGkk3/rWt670GMZht7u/9UH0o9EosE+RjH0l8NlsjB4tR5mejio755LbEwSB4rhC6s0N1A01oJQqyYpMn3E70YoodnXsQSXxkRY5nyarHYkgkBmhAkKbS7VGzrBpjK62YeISI1Do4Lc1fwFB4NPzH0MpVU55vVSuw+M04RptQZ+SRnOTnyHTGLmFCRMuJ0l0kQxv34Z3eBhnayumra8w+OLzWN7fzVhVJa62VpR2N8NaEUGphM4eVLnzGNPJafNVc7LZi9kEmvRERKmcB7OT+Ej+XQTw0mxpQZCkUD9kpDQuHpk4cdFrCEbrXmt5m1eb30ItU/GZ+R/DPhjD1r3tOHXNGFvsHNgPh+r6OdY4SHWzmfr2YZq6RjjZNUKv2U5UhAKlfOIo37WEx+/l19V/wu5x8On5jxGtjJpxG0qpkpyoTA71HqVhqJHliYuRS+TA5fvMd9l6+L+K32HzjNJu6yRCriVdlzrr/UDQ6mRf92F+X/sMNaZ6ZBIpVreN8r7jJGsNJKjjL6n9rtEetre/S2l8MUsTy0K65mLnVS6RUzFQjSAIFMXmz/j6a5m5+Hy6mrnc86nRKL492bGwyJpLBAJY3nsXaUwM2tLZCdVLRQlFsfkc66+karCO1Ihk9DP8IlZI5DQON9NsaePxgnUYRzycGBkjS6cmWiELeS5j4jTUVfQwbBrDGFFJ00gLt2XdHPIXrFxtwGY6hkoxjMM7j46WEQRBICntwoexqFAwWl2Fu6sTV1cnfrcLZVo6mtJSotasJfa2O4i7/yGej++iNmKMkpMOulpq+Kn0EM3WFhSKAG5zAgG3hIAXtuTlolHKyY/JJVcXTYXZxphPy56O59CroyZ8uHl8Hv5S/wL7eg4Rr4pjtWYLr+w0835lD6OjIDO0I4g+3H2pDAw76Buy0zU4RluvjfrWIerbhqk8aaJrcJSVxYkhzdHVzNut71A5WMvalFWsTFp60e1EKSKRiBKqTXWYHEOUJcwPLiFfhs98z2gfP6/8LWNeO3dkbaJ7tJcqUx3zorOJUUbPWj/+gJ/jA1X8rvYZjvQfJwBsSF/Lx4sfJkVroHKwliN9FSgkCjJ1aRdtHrqrcw+tlnZuy9pIoiYhpGsudl4TVHEc6Cmn3drF9SkrkJ5jxfJhZ04+n65iwiLrHD7MIktUqRh66w0EmZzI69bMWrsqqZKcqCyO9B2ncrCW4th8dIqZJbQ6fS7qzUb0mlhWG3I5brLSZBmjNDaC6AhVSHOpUsuxDDvoahum0XuCyFgljxTeH3LhWVGqwu9z4bSdJCs/iY42Oa1NZvRJEURGX7jFX11QiCp3HnF33k38vfcTteZ6tPMXoEzPQBoVjSiRoJQq2D9aR4zFS1KPHa8hnrVlt/Poos28d2IQh9mJx+YhNVZDakJw52O0MhKdTE6DxYnbDwe7t2J2DJETlYVcEoxqjbrH+FX1H6gfMhInTcJet4ijtTacLi+r5yfx5B3FdLlaGfIO8KP7Huau67LZuCyNdQuTuW6+gZtXZlKYHoVpxIGxc4QFObFEaRUz+ItdXfSN9fN0/fPoFDqeKHn4kh+4mZHpNA6f5MRQI3GqWFIikmb9M9831s//VvyWUc8YD+Xdzbq060jXpXCk7zh15gYW60unjdCGQsNQE3+se5b3ug7g9LlYnbyCJ0oepiSuEJkoJUmbSEHMPGpN9VQO1jLislAYmzfjgs7+gJ9nG15CEEQezN+CJMTrL3ZeRUHE7XNTP2REJVGSfapqQ5i5+Xy6mgmLrHP4MIssQSLBevgg3iEz0Rs3z0opi9NEKSLRqxMo76+gztzAIv0ClNLQH9pRikje7dyLx+dhY8YKJKJA/cgYfXY3K1Jjp/TBOpfoODU1Fd0oHFpuv34Vem1ov5ZPo1AnM2o+jsfewbyyGzDWmWk/aSY7Px6FcvyynUSjQZGUjESrnXQu9ep4esf6CSTGk1TdTY5DQ8mtH6XP4eOofQxHzxgBXwC5VGRR3tmxGtRKaodHcfmjiVGM0TBUw+G+Y8SrYhEFgZ8df4rusV5ESzKmqiK8HgnrFibz5J3FrChORKOS0T3aS6u1g+K4fGKU0UglIiqFFJ1GTkZKFDqllFidkoN1fYw6PCwt0M9orq4GAoEAFYM1PF3/Anavg0cKH5jQ+2ymCIJAbnQ2B3uPUG9uZEliKXGRkbP2me+3D/K/FU9h84xy/7y7WJ0S3Bkbq4pBKZFTOVhLq6WDJYllIYuV8+mwdvGX+hd4q20nFreNRQkLeKLkEZYZylBIxn92oxSRLNKX0jTSQp25gZMjLZTEFp5ZKp0Ot8/D3u5DHB+oZqm+7EweZihcynepQaPncN8x6sxGiuMKiFToLqqda425+Hy6mrmSIiukn4t5eXk3AVuAASBgNBq/fd7xrwGJQB+wCPgPo9HYkJeXtwT4IlAB5AFHjEbj7y7qLj4kyA1JjFVW4Bu1IY2Y3S+chQkl3J61kdda3uaZEy/y2QUfD1nIRSkiydSlc3KkFZt7lNWJ0bTaHDRa7Gxv6WexThNSOyc9jYzEdhFtSkU6EAUzTCERpUoiEpZj6d2NVjXI6g25vL+tke2v1HHXwwuRSmeWuyQRJTxR8ggAfc1SrPv3Yjt8iL3xmcgjFRTNi6Wu0UzlSROBQODMfImCwMaUWP7S1Etq5EaWxGfxZusOflvzF0Qk+PHh6c5CMpDPxqUp3LwklcjzIlGp2mQAOmzdZEVmTDi+woxoMhIjOG4cpNc8hiE2tHm+GugZ7ePvjVtpHGlGKki4NXMDC2Yx2TpOFcM9ubfzbMNLPFP/Iv+V8uVZaXfQbubnFb/F6rZxb+4drElZMe74utTVtNu6ONpfyUuNW3kw/+4Zte/yuXm56TX29wTNOgti5nFH9iZSI5KnvC5KEcmXy57kL/UvUDFYww+P/h+fXvA4Bs3E4jwQCNBsaeNw7zGOD1Tj9DmRCBJWJV/8Uu1M0co1PFxwP7+q+gN/qnuOry35JxQhCsMwYa4Gpv2JlZeXpwZ+A3zJaDR+C5ifl5d343mnaYEvG43G/we8DPzw1OsG4H+NRuOPgM8AP8jLy4ubrcFfi8yG8/tUbEhfR350LieGGqkyXeiIPhWlCcUECFA9WIcoCNyTqUcnk/JqYw9m5/S/EpxeJ6+cfIPhlDYEEY7ua8N/EX5TCm0wed9t76FwQRL58xMx9Y+yd0fTjNs6l9jb70CQShl49R+cMFkwqBU8flMeogBOt4+T3eMLVOdFasiIUNFgsZOiWcQS8R4Yi8Ln90PnfDalb+CHn1nFfetyLhBYAGm6FAA6rZPvMBQEgVtWpBMA3jrUfkn3N1ewe+y82LiV75X/jMaRZkriCvjXZV9hU+ZNs97XCsMSSuIKaRxp5q3G3ZfcnskxxP9WPMWIy8KWnFtZm7rqgnOCdhL3kKw1sK/nMAd6Qnc27x7t5QflP2d/zxGStQb+qfSTfK70E9MKrNPIJXI+VvwRNmXchMk5xI+O/pI6c8MF9/Bm606+dfD/8dPjv+ZA7xFUUiU3p9/Avy77Mhm6tJDHOxsUxeZxQ+pq+u0DvNz0+gfad5gwl5tQ4tgrgHaj0eg69f/9wC3nnmA0Gv/daDSe3rcsAqOnXn/NaDSe+w3jBUKrGPwh5ayNw+XxTxIEgXvn3YFEkPBy0+u4faGHUEvjSwCoGAwW49XKpGxOi8MfCJadmY5tbbuwuG2szVtOwXwDlmEHjbX9M74HuSoREHA7gnO0ekMu8YlaGqr7qK+6+HmTxcYRef06/GYTOQ2VXKePIkanZGFu8HfBP/aML1MkCAKrYoLRxj9VdfDuQQtiy3XcpPoYP7z/fu5ak4VWNfnOQ706Hrkom9bGYeG8eAyxag7V9WO2XL3mpf6An33dh/jWoR/wftd+4lQxfGbBx/j0/MdJUF+e316nBY9WpuG56lcvyepgyDnMzyueYtg1wh3Zm7gxbfK8SblEzidLHkEtVfGC8RXarB1Tth0IBNjTdZAfHP0/+uwDrEu5jq8u/jx5MTPfZSwKIrdmbeDxoofwBbz8uupPvNPxPgd6yvnp8V/znwe/z1utO7G6bSxNLOPzpU/wXyu/zu3ZG2e8KWa2uD17E8laA/t7DoeLfYe5pghluTABOLeOiPXUaxeQl5cnBx4FPjvB4c8B3zUajVO6OEZHq2e85HOxxMfPvpvxpaIsyKEfkIyYLtv44uMjuMVyI6817GDf4AHuL7kttOuIILMhlcbhk6giRbRyDevitLzfP0Kl2crdxanEqyfO8+q29rG7ax/xmlgeKrsVR64PY00/FYc6Wbk2B4lkZnkrpuYE3I5+4uI0wUTdjy/jdz/dw74dJ8mZpyd5gh2HoSB78B4G33+P0op9rP7cwyhUSj59TylPfPcdGjtH8AoihjgNPaZR/rH7JLvKO9AWxqBMUHPrLXk8el0OSnnoSduZ0ak0DbURGa1ALh2/THLu3//+9Xn87PkK9tT28ck7Sy7q3q4kDYPN/KnyBVqHO1FKFXx0wV1szr0BqeTy7yiLJ4Inlz3MD/f9hmcbX+S7N31txv2a7cP84vDvMDuHub/4Nu4uurBg9UT9fkn+Cb675xf8oe6vfH/DN4hSXpgCMOoe4zflf+VIVyVauYbPLP0Ei5MXzGh8E7EpfjW5hlR+uO83vHLyzTOvFyXM4/qM5SxLWYhKdumJ+TA736VfWf0EX9/xPf7W+DJlmQXEqmdvd+bVyFx8Pl3NXKn5DOWbZgA4d3S6U6+N45TA+jXwr0ajsfm8Yw8BGqPR+D/TdTY8fPElYGZCfHwEg4Nzr5isTxkJgKWl/bKO7/qE1expPczWhh2U6EqIV8eGdF1xdCGtw52811DOMsMiAG7JTuT3VW28UtfJXRkX5n84vS5+Xf0XfH4fd2XdgmU4GBQtLDVQc6ybfe82UVg6s2RniSIR/1g/vV1tyJTBX9833FrAmy9W88KfjnDPY4tQqWee2/F+7xgDJUtZULGftr9vJWbTZiRAjE7JkNXJd/90mIRoFeUNAwQCoI9WsSY5lv0eB+14GBkJeoiFSqIqEWOghar2pnHLNOe/PwtTI4nVKdh+sI0bFyahu4h7uxLY3KO83PQG5f3HAViaWMad2ZuJVOgYHnJ8YOPIkGexLnMlu1sP8HT5K9yevTHka0dcFn52/DcMOsxsyriJNQmrQ/5sJklSuT1zI1tbtvGD93/DP5V+clxlgxZLG3+s/RvDrhFyojJ5rPBBouVRs/bZjySWr5R9lq3N29CrE1iaWEasKiheRkc8jM7CwsJsfZcq0HJ3zm08Z/wHP9n7e/5p4SdnvEPyWmGuPp+uVi73fE4l4EJ5Bx8E0vPy8k6HKFYBb+bl5cXk5eXpAPLy8lTAU8BPjEbjsby8vDOZnnl5eZ8AEoxG4//k5eWV5OXlzbvYG/kwIFGrkURFXbacrNMopQq25NyC1+/lpaatIV93/pIhwJKkaGIVMo6brIy4xn9p948N8MNjv+DkSCvz44qYH3c2sXnhijQkUpFjB9rxeWeWmyVXn1pWtZ+dp7SsGJaszmDU6mLX6yfw+2fmvB0soTNC48IVCGo1Q9vexGcPiv4leUEh19Zn48iJAVLitXz6jiK+88RyNpWmsChex6DTw3GTdaouzrDtcDuvH2g7k/zeaZt6yVAqEbl5aRpur593jk5cKmiu0W8f5EdHf0F5/3FSI5L5yqLP8GjhA1dsB9mjC+8hVhnNjvbdtFjapj1/xGXhtea3+e7hnzLoMLMhfR23ZK6fcb/r09eyML6EkyOtZyJK/oCft9ve5afHf8OIy8LmzPV8YeGnLsqAdTqilVE8VvQgmzJvPCOw5iqrkpaxIL6YppEWdrS/d6WHEybMJTOtyDIajXbgSeDneXl5/wNUG43GXcDXCSazAzxLUHz9Mi8v771Tx8jLy7sD+DFw56nX/wZc+v7saxyFIQnvkBm/8/Lm35QlLGBedA615gZqTPUhXZOoSSBRo+fEUCPOU8WNRUFgXVIMvgDs6Tubm1U5UBMo7I98AAAgAElEQVTMMRnrZ13KdXyi+KPjdjNqtAqKFyYxanVxompmolKuDr6NXPbxOViLVqaTnh1DZ+swR/e1zajNmiEbVo+P0hQ9sRs347ePMbxjGwBLC/UIgCiAXCryT3eXsLRAjygG7+fGpFhkosCubjNu39SCcX9NL3/f3cwre1rwWoMPvY4pkt9Ps3pBEhFqGbuOdeNwzW69utmmeaSNHx/9JSbnEBvTb+BfFn9+0h2UHxRqmYpHCh8A4Om653F6XROe12nr5un65/mPA99ne/u7IMBdObdwe9bGi7JVEQSBjxbcS6JGz+6ufbzbsYdfVP6e11veRieP4AsLP8ktmes/tFGbcxEEgYfy7yZKEcmbrTtotUydyxYmzFwnpMQEo9G4E9h53mv/cs6/t0xy3VYg8lIG+GFEbjBgP1GPu68PZUbGZetHEATum3cH3z3yU/7e+Bp50blnzDSnYmF8MdvadlFnNrJIH8wdWRATwbs9Q5QPWlmtj+T9rl3s7HgPuSjj8cIHWZw4sYN96fI06ip7OHawnfz5iUhloeXjyVR6QMR9nsgSBIEbbyvgpT8f49iBdhIMEWTkTp9UHQgE2Ns3jACs1EcRqV/P8K6dDO/cQdQN68k06PjNP1/Pwbp+/rytgb9sb+SL984/89DVyaWs0kfxXu8wBwdGuN4wcWHjHtMYz+wwopBLcLt97NxvRpIlDamGoUImYf3iVP6xp4XdFd1sXj7zEkkfBMcHqnm6/nn8AT8fyb/nktzbZ5ucqExuSruenR3v8Y+Tb/DQKXsFf8BPnbmBXR17aBppASBRncC61OtYmrgopM/FVCilSj5V8gg/OPp/vHzyDQCKYwt4uOA+tPJrx5ZjNtDKNDxaeD8/r/gdf677G19f+kVUs2DqGibMlSBsRjoH8QwOMlZTjSp3HorUy1MD7TQRci1Or5O6oQYkooR50dnTXqOWqtnXcwhBEChLmI9Go8DhcCM7ZVBaOVhL1cA7JKji+PzCT5IXkztpWzK5BI/bR2fLEEqVjMTk0DS5IEiwWxrwOgbQ6VeNizBIpRKSUqMw1vbR3mymsNQw7WaKZquDvf0jlERrWZIQiSCVIspkjFVWEPB50RTPRyKKpOm1NPdYqW0dIj5KRZr+7Fp8slpBuclCq81JaUwEyvP6dHl8/OSFSkZG3XzqtiLkUpG6tmFidArMQis3pa89Y1w52fszJV7Du8e7aeuzcUNZ8ow2DOzvG+btLjP5kRrkM9xoEAqBQIBdnXv4W8PLyEQpnyp5lDL9pSdwzxan5zQ7KpMaUz115gYS1QmcHGnh6frneb/7AEPOYfKjc7kv7y625N5Kui51XA7VJfUv05CsNdBq7WBz5nruyb0dhfTqyK2bisvxXRqrisHj91JjPsGIy0JpfOjmqNcCc/n5dDVyJc1Iw/HpOYjcEFwKu1w2DuezOfMmIuUR7GzfjckxNO35yVoDcapYas0NuH1nc7CiZcMQGGPMb6AotpR/WfJ5krTT19wrXZaKTC6h4lAHHrcv5HHL1QYCAS8e5+AFx+L0WhavSsfl9FJzdPoo0b7+4DLn6sSzOSuRa9YijYvD8t5uPGYzEIyUPbYxH4VcwnPvNDFsO7vkpJRK2JAch8vn5y9NPTh94+/l2Z2NdJvGuLEshcX5CWy5Phu5TGSoxYDXC71j09sLqJUy1pUlYx1zs78m9CXWfoeLbV0m2mwOXmrtIxCYWb7adPgDfl5s3MorJ98kUq7jS2WfoTA2b1b7mC1kopRHCx9AKkj4Y92zvND4KkOuEVYYlvDNpV/i8wufoOgiytKEQlFsPt9e8TXWpV43qxUdrkVuzdxAekQqR/qOc6Tv+JUeTpgwF0VYZM1Bzoisvsub/H4apVTJXTm34vF7eanptWnPFwSBhfEluH1uTgw1nvH4+XnFUzhclQiClIzo9aikqtD6V8mYvyQFh91D7fHpBdFpTudlnb9keJqSRckoVVKqyrtwOSfPYep3uGi02MnQKknRnl2WEKRS4m6/i4DXi/n1s5sDYiOV3LcuB7vLyzPbjeMEy5J4HcsTIulzuHnuZB++U8n3B2p72VfdS7o+gvtuCHofRUco2LwsHbdLxNuTPW3y+2k2LElDJhXZdrgjaHw6DYFAgK3tg/gDEKeUYbTY2d8/ElJfoeDyufltzdPs6T5AkiaRry7+HKmzUBrncpKsNXDPvDuIU8WyOXM9/7Pym3y04F6StYYrPbQwp5CIEh4rehCFRM4LxlcwOcxXekhhwsyYsMiag0giIxFVqsu+w/BcFutLyY3KosZUT63pxLTnn65tdnygil8eeZoXGl9BJVXyicJV6GRSDg9aGPWEnpy9YEkKcoWUysMduENM6lZMsMPwXGRyKQuWpuJ2eak91jVpO/v6goLjusQLd15FLF+B3JCEdf/ecaL3+tIk8tOiqDxp4vCJs4aqgiBwa1o8+ZEamqx2trYP0D04yl+2G1EpJDx5ZxEy6dmP3c3L0tBppXj70jGGKKojNXKum2/AZHFypP4CN5ULqDTbaLM5KIjS8ER+ClqphO1dJrrGJt5YMTjiYGR04qTw87G6bfzs+G+oMZ0gPzqXLy968rLskLscrE5ezrdXfI1bMtcTIdde6eGEmYAEdRz3z7sLp8/Fn+uew+cPPdIdJsxcICyy5iCCICA3JOEe6Cfg/WB2kQWT4O9EFEReanoNj3/qfiPlOpQSBUf7K9nTdph0XSpfX/IFimJzWWOIxuMPzChaolDKKF2agtPhDTmaJVMmgCCZNJIFUFyWjEIZjGZNJN5sHi+VZhuxChn5URcmIAuiSOydWyAQwPTqK2deFwWBxzblI5eJ/G1nE5Yx97hj92cnkqRWUN4/wo9frsbt8fPYpgISotXj71sm4Z7rsyEgoaoq9CW8TUvTEAWBtw61459i6c/h9bGt04RMDIq/CJmUe7P0+APwfHPfBUuaA8N2/vOPR/j+s8enjZL1jQ3wo6O/oMPWxfLExXxmwcdCjl6GCRMqSxPLWJSwgFZrBwd7y6/0cMKEmRFhkTVHkScawOfDMzh9pGK2SNImcn3KSgYdZnZ1vH/B8UAgwMmRVv5Q+1f+4+D3cfqC0Y6VqYv4UtnZCMaSeB1aqYSD/SPYvaH/8ixZnIJUJlJf0ROSx5UgSpGr9LgdfQQmEYVyRTCa5XJ6qTl2oXg7MmDBFwiwUh+FOEmOjLZsEYqMTEaPHsHZcbZ+YEK0mrvXZDPq8PDsDuO4axQSkUdyk3CetDAy4mR+YQJL8icslMDK4iSUOju2/kiMHdPnxAHERalYVqin2zRG1UnTpOe9021m1OtjrSGGaEVwh1xupIY1hmiGXB5ebRs4s9zp9fl56rV6nG4fA8MOyk9M/N5zep3saNvNj479ArNzmFsy1/PRgntnLUE8TJhzEQSBu3NvQybKeKv1nRmVAgsT5koTFllzlNN5Wa4PcMkQOLN08nbbu5gdwWRwt8/DwZ5yvl/+v/z0+K85PlBNojqBm1KDtduUMiUy8awbiEwUWWOIxu0PcGAG0Sy5QkpuoR6b1UVna2hiQ65OgoAfj3NyMVqy6FQ060jnuGiW1x/gyKAFpUSkLG5yg0xBEIi7K7jVf+itN8cdu3FxCjkpkRw1DnK0YfwY6hpNWLpGkUfIMekVtNkmdjgXBYGiBcFx/fWdhikjU+eyeXnQIf7Ng+0TJrL3jDk5NGAhTiljdeL4JbybkmJJ0yipHhrl2CkD1a37WmnttVKcGXMmSnZuuw6vg7fbdvEfB77P1pZtgMAjBfezOXN9OIk7zGUlUqFjXep1WNxW3uvaf6WHEyZMyIRF1hzldKFozweU/H4alVTFXdm34PF7eKHxFbY2b+PfDnyHvzb8ne7RXkrjS/jiwk/xzaVf4o6czUTItJR3V43bZQiwND4SjVTCgf4RHDOIZhUtDIrL+orQdlaedn53TZKXBaeiWUtScDnHL0XWDNmweXwsjtOhmMbSQF1YhCI1jdFj5XgGz+5mFAWBj20uQCYV+esOI7ZT24R7zWNn8rA+flshSOCZph5Mzol/hZek65HE9NI94ORwXWhFs5PjtSzMjaOlx0pDx3gx6z+V7B4AbkuLRyqOvz+JGFzSVEpEXu8Y5FDzIG8dbCcuUsmTdxaztDCBrsExqprN2D0O3mrdyb8f+D6vt2wnQIBbM2/mv1d+/UxppTBhLjfr09ailqrY0f4eds8HU34tTJhLJSyy5ihnI1kfjI3DuSxNLCM7MoM6cwM72ncDsCF9Hf+18us8UfIwudHZCIKAKIgsNyzG5hrlBeMr46IeconIdYlROH1+Dg6EHs2KT4wgPlFLe7OZUev0jvfT7TA8TfGiYGJ91ZFOPG4vgUAwyiYAy/XTJ2oLgkD0ho0QCDC8a8e4Y4kxau5cnYnV7uG5d5pweXz86tVaXB4fj20qYElaDHelJ+Dw+flzY8+EGwLSdMlIU42IYoCX3m/GGWLy/+YVQUPStw62jXv9uMlK55iT4mgtuZETm11GK2RsydDj8Qd4tcuEIBH41O1FqBTSoNGpxMNztW/wHwe/x5utOxEFgduzNvJfK7/Bpswbw/lXYT5Q1DIVG9LX4fA62DlBOkOYMHORsBnpHEVUqxne9iaIIlFr1n6gfQuCQFZUBlb3KDelruGjBfdRFJs34UM1OzKDRutJakwniFJGkhaRcuaYQa3gyICFzlEnyxOikIohLikJ0NZkRi6XkJw+da01UarG1n+AQMBPRNzkURWpVMTv89PRMoRcIcUTrWB37zAFURqWJ4S2G05uMGDdvxdH80mi1t6AKD9rJJmdFElNyxC1rUM0tA/T3j/KurJkNi0LiqAkjRI/cGJkjHabkwWxEeMKSaulat7pfgedNIqhAQUyiUiWYfoafzERSho7R6hvHyZNr8UQq8Hu9fHMyR4E4JF5ySiniNLFK2UcNg7g1UrJSo1iU6GBMY+dgwN76VTtxaXsR4qMW7M28Fjhg+TH5I5bGv4g8QcCvHO0C6/PT1zkzAXeXP/MX618EPPa73Cxu2cYH3EMOgO0WkfQyhMZ8wqMeXy4/H58gWDUQBS46pevw+/V2eVKmpGGRdYcRRAEbOVH8AwMELP5lg/8S0Mr01CWMJ/UiOQpE5olooQV2aW813KQalM9RTF5ZwoAS0UBfwCMFjtKiUhGRGgPxqgYFTXHuhk2j1GyOHnKexcEAYe1CY+9jwj9CgRh8rHGJmioq+ihv8dGj0HJgNPDHekJxChCK5kiiCIBvx97TTUSjQZV7tla54IgkJOsY291D2arizS9ls/cWYzknGW6rAgVQ04PRqsdk9NDUbT2zL1JRAkVA9XYZB0oLLnUtJhZVWxApZhe0Oij1Rys6+dwfT9qhZQTXhfto042pMQxb5Io1mn2VPWwe28buiQtozKBWKWUP9b8impTPSqpCnt7FhmuNTy8aiXSKySuICiw/rrdyBsH22nvCwrYmTLXP/NXK5d7XkdcHn57oosWm4POMReIeiTSVBqtLqqGbBwzWTk8YGF//wjv9Q5TNzxKhlaFVnbl3q+XSvi9OruEHd/DTIjcYCDgcuIdDi0J/EqRoInlsaIH8fl9/L72GcbOyZdYkRCJUiKyt29k2sLJp5HJpcwr1jNmc9N+cvp7Dy4Z+vE4ps5lUihlzF+cwqjfR93wGIkqOVkhCr/TRK5Zi6hUMrxr5wX2GsnxWh68aR4p8VqevLMY2XlldQRBYEtmAhkRKmqHR3m5tZ9eu+vMMmtaRAoewckNy+JxuX28/H5zSGPKSYnkaw8tJEIt56XydsoHLSQoZaycJkLXax7juXeaUMukPJqXjEwU+EdrPyanmyX6Mr5z3TfIkS+kvtVKW591BrM0uwQCAZ7d0ch7lcEl4e7BUUYdnmmuCnMtcLp6wqjXx4bkWJ4sSOWRnESk/iM4nftYpVdyvSGaZfGRzI/RkhWhot/h5tcnOqkwXbn3bJgwpwlHsuYwru5uHI1GNMXzkSdMvP1/LqDRKNAEdPgDAapN9fSM9bFIvwBBEJCKIh5/gEaLHbkYejRLG6GgrqIHt8vLvCL9lOf6PGM4LEbkKj0KzdQRjji9ln2DFpyRcm5IjCZ1hiJLlMnw2mw46uuQJ+hRpKaNO55p0LGuLBmtauLomCgIFERpaBgZo9nm4MighZohG3avD5noo2nkBCuz5jE0qKCm2cz87FiiIxTTjitGp2RRXjzVATfIJARaR1mUEYNikoLbHq+fn75YxZDNxRO3FVKSHkOETKRuxI5UksDjBSuIkGuJ0io4WNfHmMPDkoKp/w6Xg0AgwN92NvFuRTcp8VqWFCTQ0mslJzkSQ+zMCitfDZ/5q5HLNa/+QIDnTvbRNupkWXwkN6fEEqmQEadSECmH8r53iZA6uTdnOflRGopjIiiL06FXKWiwjFE9NIrV4yVHpx63NH81EH6vzoxAIEDbqJNIuXTClY9wJCvMhJzeYfhBOr9fCpszb6IgZh515ga2t+0+8/oqfRRKiciObjN/b+ljzDP9bsPYBC36ZB0dLUNYRya2PjiNQnM6+X36eRLlEuwpWkS3D2mHbdrzJyL6pvUgigxt33ZRNQDVUgmfLUrlwexEiqO1DLu87OoZYr8pFq16C0fNTu65OVj37/ldTSH30ex2EVBJUY35aGk0899PH6V7cHTCc19+v5mOgVHWLDCw+JR/lyzQjdvThESSwFFT8G9UmBFNemIEx4yD9JrHZnyvl0IgEOC5XU3sOt5FcryGf36wlEXz4gEwds5eWaAwc5O3O000WMbI1am5NT1+3MNzYXwJaREpHB+opsM6vppDcYyWzxWmYlDJKR+08tSJLoac4cjntUyl2cbvGrrO2NHMJcIiaw6j+IALRV8qoiDyWOGDRCuieLN1ByeGGgFQSSV8Ii+ZJLWCCrONn9a2cdxknVY8FJYG7/9E1dTiSaqIRRDl0+4wBKgy23ALoOt3UHu4E08Igu98ZLFxRCxegru7C3t93Yyvh6CXWElMBA/lGPjXhVncl6VnXqQKUYyix5nAMx19RCVqaOqysL2qe0obDL8/QGOLmR1dZpQSkS+szOa2lRmYLE6+88yxC8xKa1rM7CjvRB+j5sEbz+aVvdP5Pg7nfiJlAnv7humxuxAEgVuWpxMAth3quKh7vRgCgQAvvHuSd452kRSn4asPLESnlpOdrEMqEWnoGP7AxhLmg+fIgIV9/SPEK+U8kJ14QSRKEATuyN4EwNbmbRdcH6uU8+nCVBbH6eixu/hFfQcnhif+wRHm6qf21N+2yTL3rD3CImsOI9MngiBcNSILQCvX8ETJw0gEkT/V/Y0hZ/BhmKRR8mRhKptT4/D4A7zU2s8fjN2T+kYB5OTHI1dIOVHdi2+KfC5BEJGrE/E4TfincIM+bdsgAsviInHYPSH7cZ1P9IaNAAzvePuirj8XhUSkNFbHY/NSUPm343EdoDAuAnlmBAjw0u5mvl1+ku9UtPDUiU5ebu3n/d4haodG6bO7qDrexYs1nTh9ftYnx6KTy7hrTRafvqMInz/Az1+q5u3DHQQCASxjbv7wRj0SUeDTtxehkAeXE5tH2mixtFEcm82WTAMBYGvbAP5AgLK8eAyxag7W9TEUgq3GpRIIBPj7e83sKO/EEKvmqw8uRKcJ7uSUSSVkJeno7B/FHo5OXJOctNh5rX0AtVTCo7lJqKQTL3nnx+SSH51Lw3ATDUNNFxyXiSJbMvXcnZGA1x/gmZO9vN1pwncR0edLxevzc7C2j/01vbgu4oddmMlx+/xnxFWrzXFRqwuXk3BO1hxGkEiwHtiPd2SEmI2brvRwJuX8uYxSRKKVa6gYqKHF0s7SxEVIBBFREEjTqiiNjcDsdHPS6qB80EoASNUoLyhrI0pE7GMuuttHiE3QEBM3eQ6OxzGA296FUpeDVB454TktNgd7+0YojtFyU76BuooeBnttFJclIU5jRno+0qho7MYGHCfq0S5chDRy4j5nSquljXZrNf+88mZW6RMYsLvp6bYSJZOiiVfT73DTY3fRbHVQMzzK4UEL9QEPHp0cjcvPAwVnd2Mmx2spzoyhqtnEscZBzFYnh+r66RwY5d61OWeWCQFebHyVAfsgD+XfQ26UngGHmyarnUi5lBSNEoVMwvHGQfyBACVZsbNyrxMRCAR4+f0Wth3uIDFGzdceWkikdnxO2uCIA2PnCDkpUSTGqCdp6UKuhs/81chszuuAw82fGrvxA4/NS8KgmTof0aDRs7/nMP1jg6xMWjphPk6SRkl+lIZmq50GyxitNge5OvW0BsSzgc/vZ39NL79+tZZ9Nb1UNJl4r6Ibm91NQpQKzSS5m+H3aug0WMaoGrIhAG5/gPkxEWjOy0UNWzicQ1hkjcdeV4urs4OoG24a58s0l5hoLtMiUjA5h6g3G7F7HBTH5Z85ppJKWBATgV4lp9XmoGFkjLrhUQxqBVHn2SlE6JTUHu/B6fCQV5I46Rj8XgcOywlkqgQUmpQJz3mzYxCT08OWjARiNQo8bh8dLUMo1TISk2cukiRaLbYjh/j/7L13dFzXmeX7u5VzQhVCIcciQTAnkWIUJVFZlmRJtiw5y3Y7jt3Tds+bN9PJr4Pboduv2+3UTnKSLJlWphJzBAkwILGQM1AooHJOd/4oECQIgARIKk1zr4Ul6sZT595zzz5f2J+YTKBbeX2Uzz0xD22edhzWCgqUuawss1DfNoZrJMjnb67ivup8lufoqTZoKNSo0AI+VxghLZLT5mX1isJphNGsV7JucR4dgz7OdnkY80ZZUmbm8Z2OqQlpNOziDx0vUG4o4Z6K2xEmyfAJt5/uQJTVVgNleXoON4/QMeBnywr7nAH11wJRFNl1sIeXj/aRZ1bz9cdWYZot6F8UOdI8ikmnoK58/oTv/TLm3+sIJFJ0BSJ4E0kCyTQpiYA3FCeZyXDe3ixh4VpV4WSa/3QOEUym+WB5HovNuiueY1QaGA27OOftwK4roEA7e3KGXi5jVY6e8XiSDn+E0xNBSnSqGd+b64VMRuR4q2uSXI2SSKW5ZVURteUWBlxBWnu9vNUwSM9IAI1Kjs2sntZfN97V+ePAiIeRaGLKNZynVlCkVU075gbJugg3SNZ0xPv7iHV1oluxErnl7bMgXAtm60tBEKi11NA03krzRBs2dQ6FuoJp+/PUStZYDcTSGdoDERrGAwSSKSr0minhUrVGwVCfl+F+P9W1uajmWPkJgpTQ+AkkMjUa0+IZ+z2xJC/2uynSKtlhz8nWI8zTzbBmiaJILJrE4w4zMuCjr3MCZ7OLsycHOV0/gMWqRW/MDmB5bi6hE/VE2p0YN29Borp2BfRUJsWx0QZytTlUGSqRSiQUWLUcaR6ldzTItuV2dAoZNrWCUr2a2DkP/uPDFIbTJH1x8guNmC6x7qiVMjYsyccbipMRRb7w4NJp+lu7ul5hMDTMwzX3T01SKqkEuUSg1RcmkspQZ9EjCAJnOieQSSUsvoJI7NXg+UM9vHikl1yzmm88tmrOrEqDVsHu4/0kUxm2rpi/Xtb7Zcy/l5EWRX58bpCjY35OTwRpHA9wYGCcY5M6VQdGvewb8bJ32MPB0axmVSCZQi6RoJdL5yReqUxWqmEkmmBbgZlN+fN/vwp1BRwcOsZgaJhN9puQCLNbqGQSCUvNOtRSCW3+MK2+EEst+jndkVeDjCjS4HTzw+db2Hd6mFgizdYVhXz+A3Wsq81jcamZHauLsedo8IXjnOvzcazVxbEWF+mMSEGOBoVMeuNdnSfSosiu3qxr+f6yXI6N+VFKJdRZ9NOOu0GyLsINkjUdKc8E4TOnUVdWoSote7ebMyvm6kupRMoiSxXHRxppGm9hmXUJesX01alcImGRSUuVQcNAOEaHP0I8ncFhuuAalMokdDvHkUolFJdbZm2DRKom6D6OmE6gt62bsX/vsIf+cIydRVYKJlc5MrmURDzNQI+HwT4vzSeHOLavm8Yj/bSdGaHbOc5Qn49xV4igP0Y0ksQ9GmTJSjuCIGQnDJmM8OlTIJWhrV1yLd0IgEau4fW+vSikctbmrgIg16RmzBuhuceDVi2n0p61uomiyIHX2kkmM9xy9yI6WseQK6SUVVlnXFcqlVChPcPynEZy8lchkWTJqi/u5zdtz2LT5PBIzf3TJsFCrYpz3hDtgQiVBg11RSb2nx6mezjA9lWFyGXXz93yen0/zx3oxmZS8Y3HVmExqOY8ViaV0NzjoWckwO1ri+fdjvfLmH8v4/iYn8aJIA6jhtVWA8U6FVVWAzlyKblqBTkqOSaFHL1cikIqZTQapzsY5eSkYOhYNE5aFDHKZVP1NMXJibLNH6HOrOO+0twFWcF0ci2+uJ82TztmlWla1YlLcd5Kq5VJafaG6QtGWWnVX7PEgyiKnOma4EcvtPBmwyChaJJNSwv4/AN1bKzLn7aokUoEinJ1bFluZ0WVlXRGpHPIz9muCd46Oci4P0pdpZX0Amq+/ldFbzBKvTvAihw9q6x66sf8+BIpNuWZ3lHL4OVI1vtXEve/CBRTGYbvDxmHS5GrsfFE7SP8pOlXPNX2DF9f86VZP6ClejVfrC3h22d7OTUR5I4iK4pJt1dFjQ2VuhNn0wjrt5QjnWVSFQQBhdpOPNRDJh1DIr0wScfTGU6OB9DLpSy9ZIWzfF0RraeHGRsOIldIMRhVGExq9CYVBpMKg1GNwaRCb1Rx4LV2nM0uOlpc1NRlXZeGDRuZ2PVH/Pv3knP3vUhUc5OD+UAtU5GrttLjzQaqn++rR2+p5mzXBLsOdLO6xobFoGLcFcLniVK5yEZxuQWVWkZf18S0884jnQwTdNcjiilC7hMYC7YCsGfgIGkxza0lW2dYAKSCwP1lufywbZDn+8b4Ym0Jt60tZteBbvadHpoqGXStiCfTPH+4F71Gztc/fHmCdR6LSkx0DvrpGPSxrHImqWMkuUIAACAASURBVHwvQhRFWrwhznpC3FFsnXelgfcKIqk0bw5lM1gfKs+bUlS32fS43bPLocRSaToDEZz+CE5fmMaJII0TQSQClOrULDJmy0A1TgQp0ir5YHnejNjM+eCu8lupH23glZ43WZu3CoX08n27zmZkIByjcTzIi31uHiy/Og04URRp6fHwp0M9dA8HsrVQa/O4b1P5vOIFS/P1fPKuxTyyvYpDZ0fY0zjIgTMjSGRSPnpbzRXP/6+OVl9WVqbWrEUQBMr1apq8ISbiSayq90Z4zY3swvc4FPnntbLePxmGl2KFrY7l1iX0BwfpDw7OeZxMIrDGZiCeznDWc+GjLZVJWLQsn1g0RZfTPef5Ss1kX12il9U4HiCWzrDOZpxRP1GtUfCRz63n41/eyKe+uolHPrWWOx6q4+YdVSxdXURpVQ5mqxaZXMrazeVIpAL1B3tJp7LRJxK5AtMtO8hEIvgPHVxw38yGYn0h4WSUidgFtXuDVsHD26uIJdL87s1sJlVHa1bhvro2D4lEoKQih3AwwbhrZqp6aKIBUcwq1Afd9WTSCSLJKIeHjmNQ6FmXP3tMWYlOzVqbAVc0wZExHztWFaJSSHm9foDkdVppn2gbIxpPsXWFnRzj/EiqozjrTnL2X71eViKdoTsQIfMOZCMNR+L81DnEb7tGafaG2DM08bbf83rjjaEJoukMO+yWeZesUcmk1Fn0PFSex1+uKOfztcXssFuwa5T0BKO8OjjO/lEvRrmMx6vsUwurhcKkNLKtaBO+uJ/9g4eveLwgCNxfmotdo+TkeIATbv+C7ieKIqc7x/nmrxr47jNn6B4OsNph428+tY7P3LdkQQkZADq1nDvWl/CPn92A1ajiePPodRtf/7dCFEXavCGUUgnl+mx/lxuyIRs9wctrK76TuEGy3uOQ6nRI9Yb3rSXrPG4uvAmAQ0PHLnvcGqsBATjhni4qV7siS6BaT89NNrPldaaTrIwocnTMh1QQWJc7e3C7UiVHrVFc0UWhN6qoW1lI0B+j5aJ2mLbdgiCX433zNcT0tX8Yi/XZOKP+4NC07ZuWFVBVZKSh3U1ju5vO1jEUShklFVkXamlVNmavt3P6BC5mUgTdJxCkSvS2m8iko4QnTnFo6BixdJztxZsuW/R5Z5EVjUzKW0MTJATYvqoQfzjBoabRK/6WdDJMxOe8bFr1vtNDCMCW5fYrXu88qgqNSCXCNYmSPtfr4qfOIX7YNkB/6O35KIeSKXb1uvj3ln56glEWm7TkKOWc8YQIJlNXvsB7BCOROPVjfmwq+bwLql8KiSBQpFWxozCHz9eW8D9WlPPB8jzW2Qx83GHHoLg2x8rtpdtQy9S80bePRPrK8h5yiYSPVBWglkp4oc/NYOjK8iTZmKsx/uYXJ/j+s2fpGQmwusbGX318LV94YClFtisH618OEonA2kW5ROMpmrvf2+XU3m2MRhN4EykcxgsxvOWTFTx6AjdI1g0sAIqCApIT42QS18en/G7oiCy2VJOjMnPSdZpoau4BYFLKqTFm47NGIvGp7UazhqIyMyMDfjzjsyuPXyBZFwhQhz9bjHm5RYf+OhSMXbWxBLlCSsORPhLx7CQp1esxbNxEanyc0KmGa77HeZI1cAnJkggCH9vpQCoReGr3OQKhOJWLbFPu0+JyCxKJQN8l4qNhbzOZVBhdzioM+ZsQBBn+saPsHzyISqpk8yQBngsamZQ7i3JIZEReHhjn9jXFyKQSXj3WRzozt35ZPDzIqPPHjPc8TcQ3u2hrvytI93CApZU5WI3zTxxQKqSUFejpHQkSjS+crAxH4jR5QqikEgbDcX7YNsiz3aPXjfikMiIHR7x8p6mPE+4ANrWCT9TYeaLazs35JtKiyPGxhVlP3i2IosjL/W5E4O4SG1LJtcUvnYdeLmOV1cAHyvLIU1+5dNSVoJFr2FK4gXAqwknX6XmdY1bKebQyn4wo8puuEUJzPP9MRqS+zcVf/ayef9/VzIArxLrFufztp9bxhQeXUpqvn/W8q8HaxVlplRPnxq7bNd/PiKcTZMSZ35nWSQHSWtMFYpurUqCVSd9Telk3SNb7AKrSMhBFXL/42YyixAtFuLmJ7q99Gc8rL12fxs0TEkHCRvt6EpkkJ0ZPXfbYdbasxan+EhP+laxZUoURiVRN/CKSdXQsa+nYkHd1q+9LodYoWLG+mFgkyZkTF1yf5tt2giDgfW33NQ/ukjlIFmS1r+5YX4I/kmQIkeraC1pXSpWMgmIj7tEQ4WCWoIqiSHDsGCCgt61DKtOgta4ikwxQSIxNhTehll2Z3Ky0GijVqWjxhhhNpdi8rIBxf4z61pkTgSiKhMYbcHX8knQy6/YNe5pmve75os/bFpAleB6OYjMZUaRraOFk5Y3BLBF9uETHk4uKKNAoaZwI8t2zfRwc8ZLKXN0zPO/C+NfmPl4dHEcC3Fti40tLSqg2ZpM5VuUYUEklHB/zk7wMSZ0PejrGGep7e9XvW7xhuoNRFhm11BgXVi/yncbmwmx24f7Bw/MehzVGLTsKc/AnUjzdPTrNfZzOZEVE/9d/HueHz7cwMh5hw5J8vvnkej53f901W65mQ2menjyLhlOd4yTep8Kl18sF7/R08v8c+jv+vv57dPl6p+1r84WRClBjuuCaFQSBMr0afzKF9yoWX28HbpCs9wEs99yHqrKKYP0xhv7t+2Ti8SufNAv8hw4y9P3vkQ4G8bz2KpnkO6uYvaFgLRJBwqHh45f9ANaYtBjkUk5PBElcpPReVm1FrZXjbHKRmuXjIwgCCo2ddMJHOhVhLJqg3R+hVKeiUHttAekXY/naItQaOWfqB4iEs9ZFRX4+2uUriPV0E+ucqT69EGjkGnK1OQwEh2btp7vWlaACXEBSMT39/HxmYV9X1mUYD/aQjI2hMdVOibTqbOvIiHCTSsG2opvn1SbJZAyLBHix382ta4uRSgReONI7zZolZlJ4+l/EM/AyEokCW+VHkKvziQW6SKeml7yIxlMcbRnFrFeytHL2rNHLwVGSJc5XchmKmRSJyCgTQyfxDr7G6bZdOP0RChhD0/9jiuRhvlBbzP2luUgl8OrgON9v6cPpm3+txrQoMhiO8fP2IZ7qHMEbT7Ih18SfLytjQ55pWvaaQiphnc1IOJXm7MTV1c8EGOz1sPu5Znb/seWqykPNB8lMhlcH3EgFuKvkvZ9gYFaZWGZdwmBomC5/77zP21ZgnhQsjfLGYHbs9LuC/L8/Oc5PXmplzBtl87IC/v4z63ny3toFFydfCARBYNNyO/FEmuae95/L8KjLx982dtEVuLYSN03jrfzg7M9IZJKMhF18t/EH/Pbcs4STEbzxJMOROBV6DSrp9G/glMsw+N4osXNDwuF9AIlCgX7demL9fUSam4g4z6FbtXre4qSiKOJ56QXcT/8WiUaDZnEticEBlEXFKAsXbkG4FPPtS5VMyVBohA5fF7U5Dsyq2a1LEkEgms7QGYiQo5RjnyRIEolAPJZisNeL0aLBmjdzFZmMTRAP96PSl7N/XGQoEueuYut1cUech1QqQSqT0NsxQSadoaQyGwslN1sIHD5IOhzCsO7yLrgrYSAySLevnw32tTMsTYM9XgbbxpgA+sdCbF5WMBVPptbKaTqZtYBV1+bhGXyVVNyDpeQ+ZAoDAE2eTrrHmyiTyzAYypCr5jd56uQyYukMTn8ErVqOCQmtvR5yTWpK8vSkEn7cXb8lFuhAri4gr/oJlBo7YjpOLNiFTGlGqbkQd3W4eYRGp5s71pWwuHThJMugyeplpTOZafFcmXSM4PhJgu56/CP78Q69TmjiJD53C4nIEG/E6wiiY6emA23GjUxhQqUrpkirYo3NSCKTLdNx2hNkKBynSKtEM6mlFEunGY0k6ApEaPIEOTbmY8+Qh1cH3NS7A3jiKaoNGp6otrPKakAumX0da1XJOery4YknWWczLli4MxKK8+LTZ0klM6TTGUS1jKKrENS9Eg6MeGnxhdmUb2J5jmHWY95r31KDQsex0QaS6SQrc5fN6xxBEKgxamjxhmjzh1GmRX76XDPeYJxtK+z82f113Ly0YE6F9uuNPKuO1471IREEVjtyr3zCewQZUeTprlHCqQytvjCLjNp5J0lcjAbXaf6z5TdIBQmfW/4JNhfeRF9ggFaPk6MjJwilbYzFZGzON80QHpVJBOrdftRSCbWTgrbvpoTDDUvW+wQSpZLCL34F/bqbiHV1MvCtfyDlu3LQr5hK4frlz5l4fhcyq5WSv/yf2B5+FAD/oQNvd7NnYFPhegAODR2/7HFrJwPg6y8JgF+8fNJlOEfNwfNxWSN+FyfG/ViU8qmBdj1Ru8KOwaSi5dQwAV82xkxVVY2qooLwmdPEBweu6frl5mJgdpdhR6sLIwIryi30jATYe+rCMQaTGrNVw1Cvl2jQRSzQiVJbjFKbJdOiKPJ6/z6OT9b9C7jm71YB2FGYg1Eu48CIl5vXFCKTCrxwuIewr4tR509IRIbRWpaTV/NxZIosidaY6wCIeC+4DEVRZN+pISSCwObldkRRnGa1nA/UShml+dm4rHginXVTTpxiuPXf8Q29TsTbTCrhRaG1o8tZTcniBwjbP8qwmEeNUcPy6p0AxILdU9fUyKTcV5rLF5eUUK5Xc84f5l+a+/lx2wD/eLqbv23s5gdtA/yhx8W+ES8t3jD+ZIoCjZKVOXo+Vm3n4zV2ctWXXwCZlHKWWHSMRhN0LzATKpMRefPFNqLhJIESHaIAx+sH2NUzOmdM0dXAn0iyb8SDViZlu33hJPjdQpWpArs2n1PuJnzx+buS1TIpH6kqQCYIvDw8QQSRJ3Y6+Ogdi7Carl1oeCGoLDJiNaredy7DzkAEbyJFvlpBPJ3hF+3D+OIL85gcGT7Bz1t+h0Ki4AsrPs1iSw0VxjL+cu1XuL/yTuLpBKfGs9ZGm3KmVydPrUAtlbxnMgxvWLLeRxAkEnQrV5EOBYmcPUPoVAPa5SuQamc3XWdiMYZ/8G+ETtajLCml+L9/A7nVhlSvJ9zaQrTdieHmTUg1C0s3vhQL6csclZkTo430BPrZUrgR+Rx6NiqZlMFwjO5glFrzhaB1pUrO2HCA4X4fSqWMXLt+mhVAkCgIuo/xenQR3rSKh8qvT1DtpZBIBFRqOd1ON/FoigqHDUEQkJnMBI8dJTE8jGHjpgVbKM5DqhQ42FePTWPFYa6a2p6Ip9i3ux2jScUHH6zjwNkRWns9bKwrmBI8DAViDPf7seedQ8i4MRfdMWWt6vR181rfHqpyalmmzyMe6kGlL58iRFeCTCJgUsg56wkSyqQpVykxiU3kSw+BmMZcfCfGgu1IJFnLTyaZJHqug7QqQiIygDZnBRKpit7RIC8e7mVFtZXqGis/cw7x8sA4ZzxBBsMxAokUgpAlPZfTTXJ5I3QM+llSGCPtfp7QRDbxwJi/FUvJPZjst6G3rkJtrMGaX8mvzk0QSKb4UGU+JrWWiK+VZHQUQ+4GhIt0ws6XYclTK+gPxRiNJlDLpBRrVTiMWlZZ9WzKN7OzyMrthTmsyzWxxKzDqrpylup5GBUyTk7KiyzPmX/gdMORPs6dHSVhUxNcYqZElJIYi9ClgqPBMBIECrXKq9Kbuhgv9LoZjsS5t8RGiW5uknGt39J4LInsOqquC4KARBBoGm9FKVVSY66c97npeJr99QNILCpsRQYeXVkyQ/blnYBWq2R4LMi5Ph9lBYa31T15PbF7cBx3LMkT1XZsKgUtvhAdgQjLLfo5rboXY+/AIZ5u34VWruHLK56k3HhBi08iSKg0lbMkZzmNHhmp9BiHB38NokiZsQTp5PgVBIH+UIyBcJxVVgPqd0BB/4bi+yx4P5IsyL5A2qVZE3j4VCPBk/Voa+tmFChO+X0MfvefiXW0o6lbStFXvoZUd7FFRyB8uhGJWo1m0cwyNAvBQvpSEASSmSStHicmpZEyY8mcxyokEs56QkgEpinAmyxqetrd9LSP4xoOUFhqRjFJMASJghbXICeSlVQa1NxemHPZSS8cjNNwpI9MWpxRjuZKsNi09HSMM9jrpaLGikarQJGXl3XrtjSjyC9AWTS3+vTlYDMaecH5BkqpkrX5K6e2d54bo/ucm6Wri6iotqJVyWhod+MJxlk7WfBZKpXQfa6f8pKzyJUmzMV3TvXB0+1/wh0d5/HFj2DTlxL2nCadCqO1LJ1/21RyBsMxOgJRyk2jbDA3EUkqsNc8js68eFp/Tzy/i7Ff/4rMUALBLiDTGlHqivnjgS4GxkIsWVPAy/1u/JEERTo1vlSawXCcdn+EE+4AB0e9nPOFcUUTRFJp5BIBtVQydY9MKoBddowi5UnSqRAa81JsFY+iMdYglU2vB9cZivJmn5slZi03T5ZtScYnSIQHskRTOZ1oni/9tCHPxJZ8M1sKLKy0GnCYtBRpVViUcpQXtWWhMCrktPsjdAejrMjRT7kkL4fhfh97XzmHVCNjZHkOO0qsrLSbcTaNUqRS4M1RThbMDWFUyLCp5FfVvr5glJcHxinUKK+owH6131LveJj9u9vZ+7IT30SEkkoL0utUtDlPm8uBoaMMhobZVnTznKV2LkY4luSff3eKkaEgFcVGfFKYiCWpM+uu+hlfLbRaJWQy7D89jCAIrHkfuAwDiRTP946Rr1Zwa2EOJToV0VQGpz/MQDjGcovussR/d+8e/tT1MgaFnq+s/CxF+tklXbqDKVp9YZZZlPiiHTRNtHFq7Cy5GhuJdIKB4DCjkSDuuJx+fxPxlIvF+ZU3SNZ53CBZV4YgCGgWLUai0RJqOEHwxHHUVTXIc7KxQYnREQa+/U8kR0YwbNpCwac/OyN+S5Gbh/etN0mOjmLacds1fUQW2pe5Ght7Bw4xEfOwuXDDnPe2qOQ0uP0MRuJszDVNpY5r9UocdXl4xyMM9Hg51zSKwaTCYtWSFuEPwxLiooTHyswY5qgnmEykaTzazxsvtDLc76e/28OSlfZZ1eTngiAI6AwqOlrHCAViVC+ZrPtXXoF//16ine2YtmxFkC08jsNi1PNm52F8cT+3lmyd2n5sXzcBb5Std9SgUssp1ILs0OtUnHmTEbWNwgo7Wr2SwNhRcsweDPlbUemyrseh0Ah/7HyJSmMZd5XfhkxhJBbsIR7qQW1ahFQ+P7eqIAjYFSnOTPjpS5noyJRzsC0XrdxCecGFuB1RFBn42c8QYlEy/hDB5hi/dur5Vb2H/knB1J4uL6H+IJHBEIGBIF+4uYpNxTkUaVXo5TLSoshINE5/KEaLN8zRMT/DkTi1RhWhsSPgfYU8fZCJqJHy2scw5K5HIp1pucyIIr9uHyaYSPHhqoILcSJihoi3Galcj0pfPufvvV6yBZdCIZHQPJmKfvFCYjZEwglefPoMqWSa0WUWTDkaHi7Px2BU0d0+jn8kxMdudSCRS+kMRDjrCdETjFKgVqBfgAZVRhT5becIwWSaxyoLMF9BmX6h4z/oj3H4rU4OvNaOdyKCUiXDPRqkv9tDSYUFperapVZkEinBRAint5M8jW1a3dTZEEuk+N7TZ+hzhdixqohPbq6iOxilIxAhV614W6zhl4NWq0QuwNGWUfpcIW5fU3zdCOjbhaMuH53BKLcUWijWZRc41UYNrmh20TQRT1I7C2EVRZEXunfzau+bmJUm/tuqz5GvnZtU7hn24I4leKyqgttKNxBPJ2idaKd+tJGDQ8c44TrFcGgIpWIx45FR3OGz7KzZeoNknccNkjV/qCsqkdtyCZ6sJ1h/DFVJKelAgMHvfou030/O/Q9ge+RDCNKZK2RBJiM5PkbUeQ51VTWK3KtfKS20L5VSBcPhUTp83Syy1GBZYAA8gFwho7o2F41OQX+Xh47WMQLeKINqgZZQijqhg5UWFXLV9KLaoijibBrltT8209c5gVIto6jUzMRYGLlcgr1kYVIPRrOa4X4fg70+CktN6I0qpFotYjpN5OwZxHQG7ZK6BV0Tsn16dugc/cFBbravQyVTEQknOPh6O7kFepYvzcHz0guM/uRHWD0DaDJx3F29RBetItekQIy8TjoNUt3taPUaOn09PNX2DKFkmEcdHyBPYwNAKtMS8TaTScdnLaw9G1JxH4Gep6jJtCCo7fSnDMhy9XT6Iiy26TFMTsrH9zaiObGPc/oy2vNqKfX3U+vvRq6UMZRTiFynwGxWUVtkojhXR89IkDOdE2yrK6DCrGWRScu6XCOb8804jNqpOI+uYJQBdxsFwf1IZSoO9jl49lQpd21aimyOiajJE+KIy8eKHD3rLxLTlMp1BFxHEcUkOuuqBT+na4VNpaBxPEB/OMb6XOOcLhVRFHl9VwsTY2GEWgsem4pHK/KxqbPuSYlEoLdjArVSxrZlhSw16/HFU3QGshZBfyKFWSlHK5u7SPN5NIwHqHcHWG7RT1n8Lof5jv9IOMHx/d3sefkc46MhzFYN2+5wsHVnDZFwYnIcu8izG6aKsC8UHneYcCiBRqcgV2Nl/+AR/PEAG+0z65meRzKV5vvPNtE+6GdjXT4fvcOBVCKhRKfm2JiflCguyJ17PXC+T32h+PvCZZgRRZ7tcZEWRR4uz5uqSykIAotNWnqCUdr9EZIZkWqj5qLzMjzb8QJ7Bg6Sq7Hy1VWfw6qeO/4vmcnwp94xzEo5O+wW5FI5S3IWsSRnEalMmkpjGctsS1iTu5iesBKT0safr7gNvU59g2Sdxw2StTAoi4tRlpQSOllP4PgxgkcPIyaT5H3sk5hvu/2yH1SpwUDg4AHEVBL9mrk/QlfC1fSlVqbh+GgDaTHNCtvcJCRHKeeIy0cwmWbtpH5WNBWl0XWWiZgHo02Fo7YAjyvKQLcHV+cEgkHGDu0h1CoTKn3Z1LUGe728vquF1tMjiBmRlTeVcNv9tVQ4bLSdGWZkMMCSlQULig8RBAFTjoZzZ0fxeSIsWpaPIAioKioJHD9KpLUF/Zq1SPUL+0hrtUp6x4do93VRY64kT2PD2TTKUPsIK2XdBH//cyJtrUh1WqwPfJBwLIVxrI/neyGnIIkqfY7e/kJ8ESv7Im/xbMcLhJJhthRuYFvxhVgxmdJC1HeOeKgXrWUZkitoZiXjHsY6fkk66SfHvplVFRups+hoHfaT1Eg5OR4gnErT2+mh508vUxIbI//BB9j+yYcQi9QE2rooneinWBZk6T1b+PT2xaxblMcaRy4KmYSGdjetvR7W1+ZPFX6WCgImpZxirZKi4GsMRKX0i/kkVKXctPguzo2o6RgMUFtqxjZLgHJaFPld1wjxdIbHKgumueUEiYxYsItEZBi9bR2C5J2tJygRBNKiSLs/gk4unTP26dSxflpPj2AqMtBRqqHWrGO7/cICwmTR0Nw4xMRYmKVrCtEpZCzP0VOiUzEcidMRiHDc7adhPMB4LIEIGOWyGRa6WDrNUx3ZiglPVBfMSI+fDVca//FYisYjfbzxQiujgwF0BhWbbqtiy+01WKxaJBKB0qoc1BoF3e1u2ptdaLQKbAsQ+PR5Ihx8vZ2Dr3dw7uwIJouGogIbfYFB2n1d1OUswqScmX2ZSmf44fMtNHV7WFlt5TP31SKdJAhauZQWb4iBcJyNucYp4vBO4HyfalWy94XLsDMQ4eiYn5U5BpZdQkilgkCtWUerL8Q5Xzgb26hTkREz/KbtWQ4PH8euzecrqz476zO6GB3+bP3L1VbjlO4cZMsqLbfVUWddTJWpgmK9nYFQnKFIgvW5ZiyGGyRrCjdI1sKhyM9HXeMg1HACBIHCL355XqRJZjITajhJtLMD07ZbkCivziR+NX15Xv29O9DHlsINcxZ0vTQAXikR+f7pH3Ng6AgNY2c4PHycg+7DDBrbkUjkaDx6lCMRBuNpvKpBDMYykkHY+7KT+oM9RMIJauryuOPBOsprsmrp512EfV0TSKUSCkuvvHq/GDqDiomxEIO9Xqx5esw5GgSpFHlODsHjx0iMjqLfsHFBLlmtVoknEOSk6zRSQUqlsoCe3+yipn8P8uEuJGo1Ofc/QMGnPoOmpgZdSTH+/fswxX38ctyOI9dDu7OKrrExmjTHKdbZ+czSj7Kp8KbpiQKCgESqJOpvQxRF1MbqOduUjE0w1vkr0skgxoJbMOZvzv5+uYzlFh2793Uj0yto75ig8cQQd44fRy0RqfjsZxiOp/idX8GZ8qXkjg9hH+zF7GxCU+1AZspalqoKjYSiSc50TdAzEmD9ZE3G8wh7zhIeO8winciwpIyuqJykKKFMo6K+bQyrUcWiWZ7dqfEADeNBNhdbWWaa6RJNJwLEQ70otIXIVbZ5P6PrhVy1gqNjPlzRBDflmWbErYwM+Njz0jk0OgWDy8ykJRI+WmNHfRFZlEolRCNJBnu9mK0aciZFMnNUCtbajOSqFEgFcEcT9IVinPWEODjqoy8YJZrOoJFJ0MikvDHkoTMQ4RZ7Dotn6avZMNf4TyXTnDk5yOt/amGgx4tKLeem7RVsv3sRtnz9jPcw126goNhIb+c4XefcRCMJisrM096BSxEKxjm6t4t9rzjxuCNY83Qkk2k6W8fQGZSUFuVywnWKVCbN8ksWcxlR5Gcvt3HinJvaMjNffHDZDEtoOJWha9JlWKB551yG5/vUqFW8Iy7DBrefSDpz1UXLzwe8f6A0F+Msrmm5RILDpOXsRJAWbwi5EOHFrj9weryZUkMxX175GfSKK79vB0a8DEfi3FlkxXSFtgYSWUtuoVZJpdXwrpGseTm/HQ7HrcCDwBggOp3Ov7lk/zeAfGAUWA38b6fTeW5yXxXwbSDldDo/eFW/4AauCE2Ng7K/+wdEUURunh9JEAQB46YtuJ/5HYFjR7Kq5e8QBEHg5sL17Op8meOjDdxSvHnOY9fajDj9EerHfLhDb9AXGGCFbSnlxhJ8MT/euA9XxMOIvQuvfoCirhUIg2W0TwQ5c+Y1LO5iTyt3OgAAIABJREFURBHsxUY27qiadYVct6qQ0/UDnD05yNI1RagWqIezfks5vR3jHD/QTWlVDhKJgHbFKjR1S4k0NxFqPIl+9doFXbPMUII6LSG15wDdra+Rl8iQkikx3f8A1h07kaguuFRUJaXo1qyj4GQ9hd4RfnFyCfmyMOZQDh8ouo8d1RvnDP7VmJfgG9lLeOIUxvwtSOUz3RLJmBtXx1NkUiFMhbdhyN0wbb9Bq2RLmZVXjvQDkEcAcyLASHUtXWNBjri8pEWoVHgovFdBsulmUkeO0PnP3yG65SFcZN/ZWzeV4Q3GOdUxzs9eaePJe2oRBAExk8I/sg8EKfby+/mEoOPH5wY45PKxLc+EAJybpVh0KpPhrWEPMkHg7qp80qGZKd8qfQX+0f3Egj3zdpleT2hkUlbmGKh3+2nzhqizXHg/Y9Ekb7zQBoD+JjtOMcmtdvOscVJ1q+ycPTFIc+MQ1bV5U9ulgsDyHD3Lc/SkRZGBUAynP0y7L0xHIEJHIMJLZK3GvkQSkyKrP3QtiEWT/PFXjfi9URRKGeu3lrN0dRFyxeUtY4WlZh762Gpefa6ZlsZhvO4wtz+wBLVmekxpLJrk1LF+mhqGSKcymHI0rNtcToXDyrgrxIu/P8PeV5zcfGsluRorDa7TPFB199RELooiv3m9naMtLioLDXzpwWVTltOLsdSs482hCZq8IVZaZ9cJezshCAJrFuXy6rF+mro9rHZc/0XARCzBc71jKKUSvlpXuuAakoFEijZfmAK1giLt3ETUopRzf6mO33Z5eHUwRDgaYLGlhk/VPY5admX3cEYUafOF0U1awi5FOhKZlil/QZT03ZVyuCItdjgcGuCHwFedTudfA8scDseOSw7TAV9zOp3/BDwH/PNF+9YDr1yf5t7A5SAzmeZNsM7DsGEjSKX4Dx18x2s93ZS/Bpkg5fDQ5RXgHZMK8IeG9nBq7CxVpnI+vuTD3FqylQ/W3Men657AangIg+5xntzyJT70qXXYyvyoonrMY8WkVHFuf6CW+x5bMacLQq6QsuqmEhLxNGdOLFzjymzV4liaj3c8QntztnCyIAjkfugjIJXifvp3C1bqlw6M8LlXI2w6HUaSkdBlWckzmxfxD9p6ftH5HGfcLSQzF3SRNHffgSjAnaEThKMKhpMGUogURioum10lCBIMuRsQxRRB90z9skTUhavjl2RSIcxFd8wgWJCdtOLJzOT14BPF2WK77SUODo560cikfLgsj4k2D7GYinF7OWdWf5KDxQ9xsgcGerwM9HjZ9dQpFivlVOXpONbi4o8HshpWwfETpJN+9La1yBRGtHIpn3QUYlLI2OfyYV+cQ/dwgEQyxbGWUf7+qQaOtoxywh3Al0ixPteIZQ7tKoXWjiBRTNPLeqexcbLs02HXBaIoiiJ7XmojHIyz+KZiGsUkFqWczXPESRnNGkoqLIwOBnCPzq4kL50sO7KzyMqX6kr5xvIyHijLZbFJSzCZIi1m6xPOJ91+LoiiyL5XnPi9URYvL+DxP1vPqg2lVyRY52EwqXnwiZWU11gZHvDz3C8aGJ9MlEgm0jQc6eM3PzzG6eMDqDVytt3p4NFPraFyUVZGxZav5/6PrECjVXD4zS6W+G4iJaY5PFw/dY8/Huhm76khinN1fPXh5SjnaJtNrSBfraDDHyGWenf0qtYtyhLmk863p5Zh43j2XYmnM7wy4L6K8wNkRFibO7eobjAR4g/tz/OjM98jFHkdAQkW3b084nhiXgQLYCAUI5xKs8iknWHtPbX7EF1f/jy7/+lHnOpwk0pnKNAqUUrefb2s+VDWDUCf0+k8P0McBu4G3jp/gNPp/F8XHS8BQhft+43D4fj4tTf1Bt4OSPV6dCtXETp5glhPN+qK+WvKXCt0Ci0rcpdy0nWaLn8vVabZs7ukgoBV0c+A5xQGhZknl34UueTCq3vGE6Q/FGOJWYvDlF1t3rbNQlfzKU7GcmlRnaJKKaNSuHRtMB21K+2cPj5A08khlq0pmrF6vhLWbiqjo8XF8QM9+LxR9AYVOoMC5aYdRA68xdhLL2G5535EUUQUQaGUzekKce8/yOD3/w0xk8F81z3sG8vDE8iwanWMRu9pGsbO0DB2BrVMxXJbHQXaPE727+Nhhw7NuRB3Oly84i+gE5Ey5zi1K2ZPhz4Pbc4K/KP7CY6fxJB381SGXiIyyljnU2TSUczFd6G3rplxbkYU+e0b7expHEKnlhOKJomfbkQll3PX7VtxxtJUpqUcebMbucvCflc2lkgQ0hQUaDEPnsE8cIp0UTUdBRvpaHaRq5AiquW8fLQPk1aKQ3EIQarEkLdp6r5GhZxPOgr5cdsgIbsGiSvM3/2qgSF3thxO55Afc7kBXaWRrQVzLz4EQYpKX0bU304q7psh5fBOIFetoMaood0fYTAco0ir4kz9AH1dHgpLTbTnKsiEYtxTYr0sAapbXUh/t4fmxiG237Xoivc1KuSstRlZazOSymQIJNNX7TI6j+aGIXo6xrGXmNiys+ay7r65IFfI2PnAEhoO93HiUC+7ft3IkpWFtLeMEg0nUallbLylkiWr7LPGUObYdNz/kRW8+PszuE/HsRcu5qDiKLeVbGXIHeHlo33kmdX8+aMr0Kgu/3vrLHreHJqgzRd+V6xZJXk6bCYVpzuywqQK+fXTFMuIIo0TAZQSCVaVnLOeEKut4WnxTlc6/8S4H7lEYIVl5gI2morxVv8B3ho4QCKdwKqycE/FZpDmsavXzc+dwzxRXTAtqWkutPomC0JfIi59rGWUodf2shSo6DjKWz9N8nP7ctYuzqW6SEta/u5mZc6HZOUCFy+LApPbZsDhcCiAjwFfuNoGmc2a6ypMdznYbO9sxsh7FbK7d9J68gSJk0cpWb/iqq5xtX15T+12TrpOc2KigQ3Vs5fAaBlr56zrNQSUFFruo9yeP7UvnkrzelMvMonAR5aXYZuMm1AKlfhH9vJI8VL6Owy80vsmW6rXUGq6vG7V5tuqee1PLbQ3jXHrPQtzHdlsesqqrHQ53Zw62n/RHjtUPgEdwPcOTW0152j4/Ne3Ib3ofRdFkYHfP8PA759BqtHg+IuvkcivZPw7+1m0NJ9HNq/lk+JD9Hj7Odx/kiP9DRwbOQnAXVo10rVm0h0R1g03EbhpBYeaXOzrneAxvQrVFSaTTHgLw527EWPN2Mq2EQ4MMtT0FJl0jNIlD2MtnBnnl86I/Nszp9nTOERZgYG//Nha/r9/eh6lz41h7Vp0MjXDL5zC6c9athQIFBWnyTF2ctOt95BXvIhMcjPt3/tXJg4f5QO3r2XIWMe+3U4s0SRaiYQX3+wmvVLNjpvXk1+QN+3+NuCzcil/89sGEp4YQ8CGpQXcuaGM7z5zCm9PAG0KbNt0U89oNojRxQz425EzjNVWfNl+ertwF3baT3TS4AthE2Qc39+DTq/EcVcNx9qHWJZrYHP15aUIrDk6ju7porN1jHsfXr7ghcLlrz43zvfryKCPo3u70egUPPBgDfKJIdLR6EV/sRn/n0mlKPnQI2hKZvb7nQ8spbzKyq7fnuJM/QAKpZQtt9ewYWsFyiu8zzabnk99eRNP/fAYDJWTSUHP6i4aWiVoUlGe/MBaKstyLnsNgK1qOW8OTeAMR7l98bWXIZsvLn5Xt6ws4rm9nfRPRNiw9PILpoWgdTLzdHNxDttKbHzz8DleHpzgr8tzkc8j/qvFHcAbT3FzUQ7FBRcWJ4l0ktc7D7Cr9VWCiTBGlYEnlj/IjoqbkUmztEOmUvCHc0P8+Nwgn1hexprLLIREUcTZ0o9SKuGmigtte7O+j5++2MwXI0MIWh2CTMaOiZNItBr2NiahEdYszoON7958Px+SNQZc3DrD5LZpmCRY/wH8T6fT2XW1DfJ635mijjabHrf76ouz/t8EsbACmcXC2P5D6O/74LRYn/ngWvrSSj55mlyODTRyb8md6C6JB3KFx/h2ww8BcNjuYTis4Gzf+FQQ6huDE/hiSbYVmCGcwD1ZsDmdyg74hG+YD1U/yH+c/Tn/evjnfH3Nl5BK5ibxJVUWtDoF9Ye6qa7LRaOd/yTV3uKiy+lGqZKh0SnIZEQy6QzptAiREOrgGEmpkoDSCoKAdyLCv3zzLdZtKadmSS6kUrh+8Z8E64+jzMsl/wtfIWUvpH5fdjiVVFqm+lmPhTsKb+d2+610+/sY9HdT4T2GVKdHvbkK/769fEDnptugYjgQ4x9+cowvPLr8ssH3EvVSBMkeRrv3kxStuLt/j5hOkFN6P6Ji8YxnnEpn+OlLrdS3jVGWr+drjyxHgchOvReAJkUxQ79qIBZNkl9u5mDPBIsW53LbDj1jHYfxuhqQqLKTlvHBR/GcaGDg6Wco//tv8aEn13J8fw9tZ0ZwIOHkqVrsZcVIdRfakM5k2HdqmF0HuonEU0g1MgzVJm65uRSrRoFhpY34WTeDAwG++t19/NWTN6Gc4+enhGw73MNtiMraeT/z6wmbmJV0ODkwQeCFTjIZkU131vB0jwuZIHBbnnle42zx8gKO7Oni0J4OVqyfW+z3urV7cvwn4ime/UUD6XSGrbdV0P6NvyATnl+R7UQyTcFn/mzWfTn5Oh786Cr6uiZw1OWj0SoIBGMQjF32mmImQ3JinO1Lpbx2JAWuchr/+RCLB4+xMpNA8h/HGHzysygLL7/wkgL5agUt7iD9I75pCQdvFy79ptaVmnkOePN4H1ULyLq8Et7qyoY21GrVqBNpNuSZOOLy8VxTPzsKr0xA3+jMnr9Mr5lqb7e/j581/wZv3IdKquLeip1sL96MUqrA67ngulup16CsKuCZ7lF+dKqHdpefHXbLrIKlrmicsUicJWYdPk/2ndp7aoinXnNSmfGhScfQr9yC+badDHzr79k+cJBNHyjjSCYfgzZLxt/O+f5yBG4+JOsoUOpwOJSTLsObgR84HA4L2WD2gMPhUAM/AL7tdDpbHA7HQ06n87nr0fgbePshSCQYbt6M58XnCZ48gXHT3EHo1/3egsAm+zqe63yJ4yMN7CjZMrUvlAjzg7M/J5KK8vjiRzCqFvHrzhFOuP3cV5qLN57k4KgXg1zK1oLp2ipSmQapwkQ8MkRt2UNsKFjL0ZET7O59i7srbp+zPTKZlFUbSzn4egenj/ez8ZaqOY+9GCMDWSVuhVLKBx5ficU6nSyKosjgd75F9FwbOU9+gQEhj6N7ugkH4+x9+Rxn9rWywrUXYXQAVVU1y/73/8CXkCCKIh2tYyiUUkorZ370JIKEKlM5ttgAfjGN3rYezT01BA4fwvfyi3zy09/gu39sprHXw58O9vDAloo5f4NEpkZnXU3AdZTBtqeIp2Vocu9lLF5GrNdDNJEmlkgRjWf/29bnpbXXS3WRka98cDmaSRHJAlcHUUFC45gOvZjgpu0VHB8N4AO2rSpCqTUilRuI+NuwZO5CkMiQGU2Yb9uJ5+UX8b31Bpa77mHbnQ4K87s5eFDEHNGwf9c5JtaG2LS1gvYhP799s50hdxi1UsaHd1Szr2uMjEXFUx3DOExaEhJ46E4H4+1edtf389//9QBP3ruEZbP0o0yZg1SuJxbqQRTFd1zhGyaTQfJM7H/NScgfY8X6YtrlIoFkiu12Czmq+RH+RcvyqT/QQ3PjMMvWFl+Vu26hEEWRA6+34/dGWbG+mJxgPyPhMJoldWgci5CoVEhUagSVavLfF/6GvvcdQo0NpMPhOUuEWazaGWNqNoSbzhI4doTE8DCJ0RHEZLZu3iqJklP225hQVdCcJ2cR3egGe+j/u7/G+tDDWUHmy7hhl1r0vDHpMlz1LroMz3ROXDeXYTSVptUbxqqSUzIZSH5roYUmT5D9I15W5Ogv+84FkynafCHyLwp4jySj/Nue3YQmitmxcRl3V2+fsXC+GLVmHZ9bXMxTncPsHfbgisR5uCIf5SVWtDZvlljVTgr2vn5igN+/1YFeI+fDlgSpbtAtX4GysJCi//bnDHz7W8hf+A2PffmraJfMnTH9TuCKJMvpdEYcDsefAd93OBxu4KzT6XzL4XB8C/AA/wj8BqgDyh0OB4CWbAA8DofjfuDe7D8dX3c6nd96e37KDVwLjJs243npBfyHDryjJAtgfcEanu/ezeHh49xSvHmy9E6KHzf9ivHoBDtLb2FDwRrSoohBLuXURJA7iqy8OjBOShS5o9g6Y1ACaC3LCIweYLz3OR6seoBzng529+1hqa2WEv3cq9fFywo4dayf5sZhlq8rRqu7fOq23xtl9x+bETMiOx9YMutkIAgCuY89Tt/f/G8Cu56h7q+/yaljA4gZkUUFIrq9f0BIhRm3VGO89XEErQ4SEUYH/YQCcRxL85HN8WEVMymC7hMIEiW6nBVIpEpM23fgfX031v4zLFWpORNP8uKRXjKiSI5RRTiaJBRNEo6mCEWThGLJyW1KwtGNZMTz/emZ/Jujr0rNfPmhZVOBw4nRUZJDgwyUbUIvSpAblJTX5vGD/V0UWrVUF2WDYzXmJQTHjhINdKIxZWOHzDvvxLdvD57dr2Dcup2MNIqSk+zcYeFEz3b6m120nhikpWmE07EkaWDL8gIe3FKJQavA7YtysHkCyzIrTZ4QWpmUmwvMKItyKMrV8svdTv712TN8cFsld6wrmSEhoNJXEPacIRkdRaG5WsfZtcEaSKIbipDSySlabefH7YOYFDK2zkMU9DyUKjnVS/JoOzNCf/cEZVXWt7HFWTibRuloGSPXrmfdlnJcP34VANsHH0VZfHn3q2HjJsafe4Zg/XFM22+56jZk4nFGfvJDMpEIgkKBosCe/bPbUdrtxCVh9hwcB4oZKl/Glg+kGf/1z3E//TvCZ8+Q94lPI7fMLoS51KLjjaEJmjzBd4VkCYLA2kV5vHKs77plGZ71hEiJIquthqmxoJJKubvYxu+7R3mhz83Ha+xzLjga3NmA93WTAe+haJJv/mEfvuEsqZG4StDVXpkY52uUfKG2hN92jtDqC/OjtgEer7ZPiw1s9YWQAItMWl451sez+7ow6hT8xYdWkvj/X0OQydDULsn+hvIKCr/0FYb+5TsM//v3KfraX4DtnRcaPo955Wo6nc43gDcu2fb1i/794GXOfR54/mobeAPvDOQ5VjSLa/8Pe+8ZZdd5Xmk+5+acQ+UcUVUoFDIIIjCCBINIickKlGRJlmbUrbY93fasXvOj13SvnlnWtMdtte2RlaxESiJIkRQFUkwgSORQOedcdXPO4cyPCxRQrCqgQFIteS3sP+TCrZu+c+759nnf/e5NfHCA9NIiiuJPru9/M2jlGjrsW7no6mQsOEm9qYbnho8xEZpiu2MrD1+pPEkFgR12IycW/bw666Y/EKVCq6J9HcElgLHoIOn4IsnwOHLXKT7X/AT/o/v7/HTwV/zVrm+tEs9fD6lMwo47Kjn5xihdZ2e5876N74RSyQzHj/WRTGQ59EADZVUbuxUrS0ox33MfgTffIPTWG9Q3b6Hv8gJceB9VNka07RD96Rpyb0/RdXGJ9l1lK1NV9Vs2NiKM+XvJZ2PoHftWBOvmB48SPPkegeO/of7gV4gP+5lSyfjt2Zl1X0MQQKuSo1UrsBmkaJQytBotKoUMtVJa+K9CikopQ60s/L9GJaeqSL+qUhLtvERCpmNWUUcuD8OJFIZLc+TyIoc7Slcu2FpzKxH3WeKB/hWSJdVosBx9GO8Lv8T/+m9hhwCImEvv4bGWJo5pFAxdmMOWzLFVJuXux1rYch2BaKww8fbleWqyEmbkIveXWVfI9x2txTTX2vnPPzjHCycmmHdH+eIDTasqAldJVjIy+QchWclEhg/eGAWJgHeLiR9PLK5M+ylu0R+pdXspQz1L9F9e+L2TLI8rwgdvjaFQSrnv0S0ImTSxvl7kRUUoNpHdadi3D+9LLxA+c+pjkazIxQvk43HMRx7E9pkn11Sm1DM+Jqv+B9WzrcxPwWWtk4P/6b/g+vEPifX2MPOf/g+cX/gS+l1rtYc2lYJitYLxcJxENvc/pWX4YexqcnD83AwXh12fCMnq9IYRgG3W1aSxzaLjklfDWDhOfyBK2zrX1w8L3vsnfXz3tT5icSUqYwxVzszbl+e5d2c5Zv3N/cU0Milfbijlt3MezrlD/OPgLJ+tLabGoCGUzjIfS1GjV/PmuVleOTWFxaDkP/xJB5Z8nKmFebRtW1f5PGqamin+xjdZ/MfvsPyjH1Cx7w9Hsm6bkd7GCgSZnOjliwgKxS1FwXwSa6lTaDm3dIlsPosr7ubE/CmqDBX8WdsXkV1HhixKOWddQZauvN/n6osxKtYXwAqCgNpYTzw0QjI8SpGxhqRMy4BvGFEUabRs3Aq02LWMDrhYnA3S2Fa0EkB9PXK5PK+/2I9nKUL77jK276tc55VWQ1VTS/jMKeKDA2jtJqZChTJ9++cfourTD9HcXtjcl+ZDTI/58LqjqLVyDtxXv+4dZT6fwTv1Aoh5rFWfXiFZEqUSMZMi3teH0WlmNqrjzvZi2tuK2LPFyaFtJdy7o5yjeyv41IFqPn2olqN7K7l3RxmHtlVwR1sZO5scbKu30VptpanCTG2pkcoiPaU2LQ6zBrNeueYzuZ7/OZ3aXSSkWoq2OOh3RRhfCKGQSfjqw83Ir2xOEpmOeGCQdHzhitN6YX2VFZWEz5wmMTJIvjKB0lSOqbSQrdlcZSallCKXCCR8CXzzISpqrKg1heOv18h54/wsekHCX9/bTPmH3NMrSoy0VpoZmw/RN+lnYNrP1lob6ivHVirTEnGfBQS0lvWHMH6fOHF8BNdimPb9lYxqBdJ5kXqDhvtuEnK+HjQ6BQvTARZmg9Rvcdyy79tmkc3k+PXPuoiEU9zzyBaKy4xEOi8RvXAe0133oN1E+LxEpSY5NUliZBjdzl3I9B+tUuT6yb+QC4Uo/to31m07vnhykgV/hGh1H+WJOlyzMSqbiim+9xAyk4lYXy+RC+dIu11EKmz0BIbp8Q7gUNtQywphx+PhxP8UY9L1rqlXjUlnXVHu3/XxjEndiTRvLvhoMGrY61gbjF6uU3HRE2Y6kmCn3bDG7f6qw/tWo46+riWee3uMTDaHonyc//jEYYoMZjpHPSTTObbVb47kSwSBRpMWnVzGYDBKly+CVibFk0wzEoqji+Z499QMNqOKv/7sdhxmDeFzZ4j39WK+7wiq6tXT6YqiYlS1dajr6jDX19x2fL+K2yTrDwe5w0Hw5AnS8/OY772xRuF6fBJraVaa6PT0MRGaYiQwjkVl5lsdf4ZGvnqjVMukzMWS+FIZdtgMay4QH4YgkaEy1BL39xIPDdNWfi/dgUn6fcO0bBC1ASCRCMgVUqZGveRy+TV6KFEUef93Y0yOeKmqt3L4waZNbYQSuRyZ0Uj00kXEqWFchloiWic7HtmNTCZBrpBRXm3hzrvrSSYzBLwxtu4qp7Ri/XZRxH2ORGgYg2MvGvPqDU1ZUUno5HsISzPM6RrIZKC13kZtuYkypx6zXolWLUexiTy7zSDtcXP5xAhLhnpqm+wcOdrIqb4lkukc+1qL2N18bTJQEATyuQTJyCQypQ2FpjAxKkilCCoVsa5OyOZxHPoccqV55Tm1pUaatziQyiRMjXoZH3JTVmVGq1OilEu5NOJm3h3l6N7KNVokrVZJPpvjjlYn/nCKvkk/J7sXeb9nkRNdC3zQ5+XyrInLU1IujsW5OOzm0rCbyxfnmBxyk0tmSMYz5PMiMoX0E3XfHht0cen0DM5SA/c+1EQoncOTTPP5uhK08o8WmCyTS5kc8SAIUFFzcxHzR8EHb40xPe6jpaOEjr0Fkb3v5V+TXl7C8blnkRk2R5gEmZTopYtIFMqPlPWZnJ7C/+rLaLd1YDp815rHQ9EUP35jBIfGTs46QU6bQONy4HNHqWtz4LJIma3WI84uIIxM4D3zPu+IY3RlZun29LPVtgWHRs9Zd4icKK6p/nzSWO+aKggCoWia4dkAlUV6SjahUdsIHywHmIkmua/Mum74tUYmJSeKDIfiZPMiDR+ydPjdvI8Fd4TFSy4GpwJo9Fkkded4bGc7O5ztlDm0XBp2MzQdYFezA/0tTLmWaVVU6zUMBWP0B6LMRJNkRZHxs4s4DAWCZTUW9gXfyy+R8bhxfOFZpGrNmtdS2B0oS0p/7/v9bZK1Dm6TrLUQpFKywQCJ4SGUFZUoN9ky/CTWUhAE8mKeAd8wKqmKb3X8GTb1+huDQ6UgmctztNy2qTaKVKZGoSkm5u8lE5mgoeIIF9y9TASnuaN414bThha7lrFBF4szQRpbi1CqrvPmujBH17k5bE4dR5/Yimwdt+iNoCgtI724gEynQ7V7PwsLUYxm9SqjVJNZg8WhpWNvBSXl6xPJfDaBZ/oYEokMW/UTa3L3JHIFiCKx3h6yJifLSTXjQx56LswzNeIhFEwgioWqxydBGKZ+9z6X42WolQIPPdOBUilHr5EzMB3gSw80YfzQpKZUrifquYCYz66qHOX1KSIXz5OfT2I+8ABS3WpfHEEQKC43odUpmBj2MDboxlliwGBSs+iNMb4Qpq3GisWwekr26nkqlUjoqLehVctZ9sfJ5vOk0jmiySzhpEAgrsQbSuELJND6E6iiGRKhJHNTAcaH3Ax0LdJ5dpbB7kWmRj0szgTxeWJEw0l0euWG2rmNEIukOH6sD0GAh5/ailqjoMGoZa/TdNPokBvBaFEz1LuEZylC247STzySZWLYzbn3pnAWG7j3U81IJBJyiQTun/wIRVERtk89vunXktsdBE+8S3ppAfO992/6Bu8qvC+/RGp2Fsczn0XhcK55/K1L8wxOB3hsfx0GU5ahxBDFlBJdEjm+/Abvht5mKDlHb5UMtUxN+XycLVNJ6rXlXNT66fL2s6eolZmYyFwsyT6H6ZYNW6dCM8SzCQyKm08HbnRN1arkV7IMYWfTR8syzIno95gbAAAgAElEQVQiL065kAoCj1c5kG5wg1WuU9HnjzIaitNs1qG/QvaDqQw/e2+M4KCfRDLL9lYN7qLXqbLZ+ELzU0gECRJBwKRTcGHITTiWZlfz2mNyI5iVctosOibDcYLpLJlwGlM8z199tgOzvvC7zicTuH/+U5SlZVgefOiGr3ebZF2H2yTrDwuZyUzovROIqRSGPWudvdfDJ7WWxVoHoVSYx+uOUmXcePRcr5DRatHfkk5FpjQjkalJBIfQZkMIhgYG/CPkxDxNlvU1VxKJgFIpY3LUSzabW9G2TI54eO/1UbQ6BY9+dttKu2qzEAQB/a7dGO88gN6io+/SAul0jqa2a/5fm1nT0NJJUtEpjMWHURnWnxqUl1XQ2eVlSlUDokhZtQWjWY3HFWVpLsTYgIueC3MszAaJx9LIZBI0WsUtV7aymRyv/2aMtKDk/ofqsZUUiGG5Q8/D+6rWECwokN9EeIxUbA6dbScSqQJRFPHNvEhemSA/HiMXCaPfuX4ckb1Ij8WmYWLIw9igC4tdi8ag4tKwG4dZTcOHyOn1ayoIArUlRu7ZUcb9uyp4YE8lD+2r5N7WHLssx9leXo7UpUKWzaO2qOlLpGlsstPeWoTeqEKpkpFJ5wh4Y/jcMRZng0yNehnpX8Zi12E03zho+ypEUeStVwbxe2Lsv7dupeIkEYSP5boOhfM3m84xNxVAZ1DiKP7kqi/hYILjL/QhSAS+8PW9SK78FqOXLxK9dBHT3feiaby5GepVCFIpGb+fxPAQqpoaFM6imz/pCnKxGK5/+QEyi4Uh0y5OvT3O+JCbmQkfi3NB3EsR3r84hxw4uquCIp2dc+4L+FRLmN0V6CJWmtqLubfqIJ9pfJTtdzyKtqWVxPAwytEZWvMOzlojdHr6aLNvYzaWu6WWYS6f4+WJ4/x8+BiXXN3sLd6JUnrj5270+zdqFZwbcBWyDD9iy3A0FOeiJ8xOu2GNsef1kAoCdpWcLl+EpXiKHTYD7kCCv/llN8GFKFqNnK8/1sDZ7AvkxSz/a/tXMCqvnWPFVg19k34GpwNsrbVuSpt1PdQyKWl3gu5RD7pojr96sh3jdbE90Z4eIhfOYTx4CM1N2tK3SdZ1uE2y/rCQGYzE+npJjI5gOHAIqfrmm8UntZYyiYx2eytW9cbi8Y8DhaaEfCZKMjxGpdrEUDrNgG+YJksDZtX61SKLXcP4kJvFmSANLU7CwSSvH+tDIhV45Jl2zNa1JepbgVIlZ2E6wNJciOat17RfN1vTbDqMb+bXSOU6rFWPIQhrqyfJRIY3fzPCTEyLKhOhODyOpLSSw0ebqKy1ojcoESQC6VQOvzfO/HSAwe4lLp2eYbR/mao6600NH6/ig+P9LHhyVEtc7Hxsc+QcCpqyZGQcmcKEUltKPNBH1HcZXe0O8rPpgnatfdtKiPSHYbFpcZYYVipaFWVGLkz6kEgE7mhdvVFv5jwV0XD+Azd9PUbyosgdd9dx4P56Xr+8gDeZ5fOfaqG6wUZjWxFbd5XRsa+CxrYiKuusGEwq5qcCjPa7yKSylFSYbmqfMNSzRO/FecqqzNx5b90nbh1hsqjpu7RAKJigpWPjSbFbQS6X5/gLfYSDSQ492EhzW/HKunp//SIZ1zLOzz+LVH9rfk4yg5HQ++8hZrPris83QujkCWK9PUT3fYqu0ST5fJ5YJEXAG8ezFGFxNog2K2LOw2jfMpPdAZxL9bToW2hoLMY1E6PBWMeeti2orkS8yC0WjHfeSWJsDGFkglZFOWdNQZZjs0hkjZtuGfqTAf6p54d0untRy9Qkskli6Tjt9pYbPm+jc1UQBIIfs2X4u3kfnmSaRysdN80ptKoUuBNpxsJxfAsRfvTKAJFoGk2Rhv/zczs56Xud6fAsj9Y+yDbH6javIAg4zGrO9C/jCSbY33ZrwyShaIrvHOslG0rzvz+1DYt+dWU68MZxUnOz2J54+qZxcrdJ1nW4TbL+8BBFkVhPN1KtFk1D403//l/LWhbG9GtJxWbIRCaptmyhMzTPeHCSO0rWbxsKgoBSJWdyxEMkmKT7whypZJb7H2+htPLWciI3Qj4vMjPuQ62RU3yl+nKzNQ0svEk6voi57H6U2rUu1F5XhFef78GzHKG82kT79HEswUmGsqV0XXYx0rfM4lyISChJ9krmIIBUKiCKkEpm6e9cJBZJYbXrVrVKP4y5KT+nT0yjSQc5vNeGprpq099dpjAScZ8nn0ugNbfhmfoVYj6LveYpVEUVhM+eJuPzFjI2N4DRrKa00sTkiJeZUS9ajZypYIIH9lSsIjk3W1OfJ8rxY4MsL6nQaWM8/HQHNU1FyGVSvKEEw7NBakuNOM3XiLVEIqBSy698BjOVtVYWZ4PMTPiZGfdRUmHc0HX9qvWHTC7l4ae3riK0YfdZfLO/Qa6yf6yYH7lCRsAXZ3EmSC4nEvTH8XtiBHxxQv4EkXCSaDhFPJYmmciSF8V1hzyux4X3J5kY9tDQ4mT3geqVdc3FY7h/9hMUJaVYH/nUpj6fKIqEY2kUMikyk4lo52US42OY7roHieLmOh5RFFn+0fdJpfNcVu9ABJ7+yk7uuKeO1h2lNLQ46VwMMRtLsW9HGcUlBvRGFfm8iG8hQTKeQyoTWJwJUttoX3WsBJkc3fYdxAf6kQxP0Gas55x+GaW8mkBaxj7njVuGfd5B/qH7B3gSPnY6t/Fvt32NQf8IQ/5Rmm9wYwc3Plc/Tsswns3x8rQLh1qx6YGKSp2ady7P039pCYlEQN9s4dDuciTCLK9NvUm1oYLPNT+x7mvZTWomFkIMTgeoKzPiMG2+wvu91waZdUd55p56Wj+kKRTzedw//RckajX2p5656fe4TbKuw22S9YeH3Okk+M5bZNwuTHff+wc/gT9JCIIEtbGBeHAQZXwWiaGewdAMyVySFuv67Q2zTcvksIflhTCZdI477q6laesnN+JvMKnouThPLJJaqTbcaE0zSS/+2deQqWxYyh9ec3xG+pd546UBkokMO/ZXcvjBJuRKOfGeTvRaGbqtWymvtlDbZKdpazFbd5Wx445K9h2uZdeBaiprrQz1FC6o7qUI/Z0LxKJprHbtGrKVTGR47Ze9ZFMZti29TdWzf7JqlPpmkEiVJKOzpGOziPk0ycgEevtutOZW5HY7ibEx4oMDqBsakds2HlvXGVRU1lqZHvMijWXI5UUqayxYr9NlbbSmoijS37nAm78eIB5NU98ksK3lPBZHBXJ14T2NOiXv9yySyeRXCfg/DK1OSVNbMYl4htlJP8N9y6i1cmxO3arjlM+LvPFSoRp0+GjjCrkuPJbBO/lLcpkwMX8vCBKU2oqPXIXS6hQM9y6zPB9idsLP9JiPyRFvofo34Gak38Vw7zKD3Yv0XpwvVOEq16/ChQIJ3vnNEDqDioeebEMqlaysa/TiRaKXLxVahTe5ORNFkYEpPz98bZD33png1KALu02LXSsl3t+HzGzeVI5qYniI4Fu/Y6LpYfxJBXsPVVNVZ0MQBORyKdF0lp+fnKS0zMizj7dSUWultsnBlm0lpNNZZif85HMi+bxIKJCgvsW5ap0lcjm6jh1Eu7uQDk3Q5myjUxdHKitFQoRa49obravtwRdGX0EEnml4nEdqHkAhlVOsLeLc0iXmIwvcUbJ7w2N6o9//x2kZXvSEGQnFOVRsplJ/c8KTF0VePjnJQK8LiUKCucOO0qrivhIdPxv6MSIi32z/CnrFxm3HEpuWk92LLHpjHGzfXDX1/JCL356dobHcxOfub1jznOTkBMF33ka/aw/6jpvbM9wmWdfhNsn6w0Mil5NxuUiMDCPV6W56sdtUGyafh0/ISTs+NMjS97+LsrxiwzbSjSCRyFHpq4j5+yjKh5lCy4B/FJvKQpl+rdhfEAS0egXjQx5aOkrYfbD6E23ryGRSfO6CRqqq3oZWp7zhmvpnXyOb8mIpfxiF+hrxyOXynH57jPMnp5DLJdz/WAstV7yplGVlRM6fRemZof3pI1Rvq6ao1IjFrkVvUKFUyVc2Va1eSTiYwOuK0txeTDqVZX4qsEK2bA4tCqUMURR597Vh3EsRav2dVJWpMd914xDu9ZEnERolHV9AkCix1TyJ5IqIX1FcTOiDk6SXlzDcefCG667WKqhusDE65EaTyTPZu8z4oIu5qQCe5SjxaIpYNIVUJkEmlyAIAvFYmrdfGaTv0gJKlYx7P7WF1m0G4oFOBKkKjbEBAJNOQfeYl7H5EAfbS1DdoM0ilUqoqrdhsWmYmfAzOezB741RVmVeEcV3n59juHeZ2iY7uw5UrfpeMX8/8eAAamMTYj5NIjRCOr6IylC7si63ggIBtVBZa6W6wUZlnZWKGjOlVWZKKkwUlRlxlhiwF+lJpbLMTPiZnwlQXm1eU9X64M1RfJ4YB4/UYy8qtMuunqvel46RcbtwfuGLa4YVrkIURbrHvXz/tUFePz+LMZKmCAFZMsNr/ct4pVpqZrvIhUKYDq2dEvwwPMd+yWJIYFSzBUexnsMPNq5ay9+enWF8IcRnDtVS7rj2mSQSgYoaK2arhpkJH/mcSDiYxGJf6ywvUSrRbesg2nkJ2cAY5VX1jOtKmAjNUasXVlWkCu3BH9Hp7sWhsfFv2r9Kq6155TNZVGa8CR9D/lEMCh2VhvWNWm/0+xcEgVAszdBMgGV/nK11NmSbJFqvzLiJZXM8Ue28qaY1ncnx3VcHONW7RJFFQ/meYlJKCUVqBQuht5mLzvN47VHa7DeOoTLplCz5YgxOByi16yi9SYszFEvz31/oQRDgL59qR6deW9EMvfcuibFRrI98CkXxzW94b5Os63CbZP1xQO50Erl4gVjnZbLhMNotLRtO/NxsLWP9fcz9zf9NfHgI/Z69H4ugiPk8i9/5O1KzM0Q7L6Pdug3ZLWo/AKRyHXKVnWSgj2q5koFMjh7vAM2W+nVtHcxWLVu2FVPX7Pi9RK5IpQLjQx7kcinlNZYN1zQVmye4+BYKbRmmkmtVxlgkxfEX+pgc9WKxa3nkmXaKyq59D0EiQe5wEjl3hsTYCIb9BxCkG0/B2Z16BroWiMfSPPWnOzFZNfjcUeanA/RfXiAeTRP0Jei7NI9Nl6dx+m0sRx5AVb1xbM9GkCnMhD3nABFj0UHUhmv+ZTKzmdTCPPHBAVQVFTc1yVWq5NQ02TnTu0Qml0eaE/F7YrgWwowOFtqkPRfm6L00z9Sol66zs3jdBQL08DPtOIoNSOU6Ip7z5DJRDI49hfUThCsEwYdOLV8jql8PFpuWhhYHnuUIc5MBxgbd2Iv0pFNZ3np1EJVGztEn25B/iLD554+Ty4Rx1H4WvWM3mYSLZGSCeGAApbYMmeLWBexavRKzVYPFrsXm1OEoNlBUaqS43ERppZnyagsVtVbqtziJRlLMTfoZ7V/G6tBivNIedS2GOf3OBI5iPfuv049ptUoingCun/0EZXkF1oceWfP++bzIpREP3311kLcvzROKptlZYkQbSaNQyhByInaljK5AGmfSh9E7C01b0Vg3bslngwEWfv4cPWVHyEsLa3l9OkM6k+N7rw2ilEv58oPNSNepzFnsWqob7MxN+Ukls0yNealtsq9p8Uo1GrRt7UQunkfTN8RM+3aSUjNn539OjbEcq9pMn3eQf+z+Ie6El53ObXxj65ewqNd+/mpDJacXLzAanGBf8S6U0rUk4mbX1MoiPePzQfqnAvRN+thaa13xe9sIS/EU7yz6aTJp2WVf37rmKiLxNH/3Qi8DU34ayk38+z/ZRp1VR18gSr0+ytnFt6g1VvFM06c3dT0sd+p4r2uBmeUIhztKN9QqiqLI918bYtYV5em762irXd9jy/2L58gn4jif/RKCbOPvncymSOXSmPS62yTrKm6TrD8OyPQG9Dt3ER8eJt7bQ2J0BG1b+7qtoI3WMp/J4D32K9zP/RQxlSTjdqGuq0fh+Gijx1BwFA+deBdFSQlZn49Ydye67TuQam5dACpX2UCQQGQMh1RCfypJv6efHY42VPJ1PFcUst9bpp3BpKa/c4GAL87WXaXodKo1a1qYvHuZXDqEtepx5Fe0Oj5PlJd/1k3AF6eu2cGDn2lbNwpI4SwiF40Q6+0lF4+h29q+4edRqmSk0zlmJ/0oVTLadpTSur0Eg0m9QrbmpwPIFVJ2Jy4jBNw4n/3yLYeLQ8HLLJeJkM9nsFY8ivAhbZyyvJzgeydIzc1hPHzXTY+BSiXHUmLglf4lsKj5xpd3UtNop77JiUanQK1RkM+JBLxx8rk8++6q5cD99StVG0EQSMcWScfn0Vq2IpEV2ipOs4a3L8+x7Itzz86yTZ0LCqWMhtYipFIJM+NehvuWmRrzkk7luO9TW7A7V98gpBMuQksnUBnq0Nt3IZHI0ZjbEAQJidAIMV8PS4EsvXMyLgy5Odm1SDiWprrY8LHPzePnZviHl/u593ANFaUGpsZ8jPa7yOfzFJcZefe1oSumo80YrtPWaLVKlk+8T6zrMuZ77kNd37DyWC6f5/yAi+++OsCJrgUiiTR7W5x8+UgTi92LiHmRzzy7g2QiQ8gVpb3KzFJOoMY/wekhLzO6UqqK9Ou2xAJvvUmPR0tAXcz2Oyqp37K6jXtu0MX5ITf37Cyj7QY+YWqNnKatxUyOeknEMgz3LmMv0q2Qy6uQ6nRotrQQuXCOVEZkuayaTC7AxaV3cce9vDLxOiLiSntQLl2/6qiSKVFI5fR6B4hn4my9TgSfyeV55fwUw5E4M7Eky4k0vlSaUDpLIpsnky/oJ08vnqKfN6iyWZkYFzg36KK+zLjGtiS1uEhyfAx5UREnlwPMxZI8UGbDvk516CrcgTjffr6LOXeU3c0Ovvl4GyqFDINCxjaLnOeGfgDAN7d9FZ1ic9ddnVpOMJpmYMqP2aCkqmj9G4WLw25+c2aahjIjnz/SuO45nfF58b10DM2W1ptGwH2n+3u8N3+Go4133SZZV3GbZP3xQKrRYti3n7TbRbyvl8jF86gbm5AZNx6Nv4r08hIL//1viXZdRu4swv7U08S6u8h43BjuPPCRNgRRFFn+/j+TC4cp/+v/iMxqI3r5ErGeHvQ7d32kDV6prUAikaPPhpDkEoykkowsn6Mu60GCiExhXHEj/31CIhGIhJIszgYpLjNSXGpas6bJ8Dhh1ylUhnqMRXcChVifV5/vIRpJccfdtey7uxbpDTy71I3NRLu7iPf2oKyoRFG0candUaxnsHuJpbkgW7aVIFfIsDl1BbJlVJGMZ9i9uwjefAF1XT3me+/7yN9fbWxAb9+1hmABSHV6Mn4f8YF+5DYbqor1nfXFfJ6My0VssB/11BBZo42euSh6nYKOLU5qGxxYHFrqtjho3VHK9n0VbLviQ/bh8zGfTZAMjyFT2VFqCtUzuUyCO1AQwNeXmXBs0qZBEARKyk2UVZtZmAkSi6Robi9m2561NiWh5fdJxxcRjAc50RfnVN8Sb16c5/WuHKPLWmptfrRMs+Sa53c9Eua8Sfom/agUMurKblyduBHO9C/xszdHyeTyjC+EePKBRqrrbcxPB5ge8zE15sW9FKGy1sqOO1avv1arZOanPyuYQj77pRW39fODLv7hpX4+6F0ikcqyv62Y/+WxVg61l3LpxATuxQh7DtdQ02CnotbK3JQfz3yYPYfakA5dwBz385NgEWcGXBg0Ckrs2pXjJOZyDP34GMOmHZgtau59dMua6shPfzdCMJLiqw9vQXuTKVmpVEL9Fjv9XYtkM3nGBtyIeZHiD50bMqMJdX0D2RNvM7RlBxVSO750H3PRhXXbgxuhQl9Kj2eAQf8oWyyNmFWFY/fibwfxXFzCM+ZnUJFnOJFkIBCjxx/hkjfMWXeI95cDTMcNCNI6AsIoTZV55iYVnOlfxmJQUXGFuKddLub+r/9C+Mwpspksx1UWFBIJj1U6kGzw+SYWQ/w/v+jGH0nx4N4KvnCkcaUVKYoi/zL4PPPRRT5T9wgtts1bdECh+naic4GJxTB3dZSuaXGGY4XqGcBfPL0N/QZEMHLuDLENXN6vx1xkgVcn36DGWMGhmj23SdZV3CZZf1wQZDJ0O3YhyGTEursInz2N3G5HWXotk+z6tRRFkfAH77P4D39P1u/HcOdBSv/Nt1BX15CcmyUxOIC6tm5dw8CbIdbXS/DNN9Dv2o3p8N2o6+oR8zli3V3EBvrR79q9qYmkVd9PEFDqKtDZdlFnbWEpPM14Ikwo4aUkNkbEc45UbB5RzCJVGD+SJmazUKpkDPcuA9DaUbrq/BRFEe/UMfLZGLbqJ5HKdQWPpVcHcS1G6Nhbwc79VTe9uAtSKeqGBsKn3ifW34dh7z4kqvXJgkwmRSIRmB73IeZFymsK1hqCIGBz6mluL0Y6fJlYbw/m+x/YlFD5o0JZUUnoxDskp6cxHr4LBIHM8hKxwX7Cp0/hP/4anl8+T+DNN4hevkRieIgGm5xLOBmY8rNnixO7VbtqTQVBQLJBC1wiVRL1XkSQyNCar1UaDFoFH/QukcnmbtlgUWdQ0dhWhM2pY+uusjXvnc+l8c28DIKabx830zvhZ84dxR9JolHKMBjsRIU6rOogZQYPd9ZHuWvPbnqmElwe8eAwqVfpjjaLoWk///TyAGqFjPY6K2PzIUBgZ0sRja1OAr44S3MhADr2Vaypvilyaaa/932UlVVYr5hCDkz5+c5LfaQyOQ5tK+Ubj7Wwv60YnVrOxLCbi6cK7vaHHyhUK6RSCRW11oK/1biP0jon6tlBStoa6QpIuDjsoW/ST4VTh1mvJNTZyfvTGrJSJQ8+0baqsgYwsxzh1x9MsbXWyj07bp6fCAWHfLVGzsy4D5lcwsJMkOX5EOXV5lUtXbnVirHIyeCyD4/awLOGcuyOcp5tfmrd9uB6kAgSirVOzi1fYj5aEMGfOzPD1KVF8goJ0nQeiy/Fna0lbCkyUqlXUaJRkc358SfmkQoZ5FITUlk1ATFKTY2L8KKRC0MeUpkcDXYli3/7N2QDfqQGAyOxDGM1zey2GWjcwBura9TD3x/rJZnO8YX7G3ho37XriSiKvDb1JmcWL1BvquGpxsdu+UZZpZCRyuTom/SjVsqoL1t9s/6D40NML0d48q462jdoE0LBePZGLu9X8fr0O8xG5vl03cNU28tuk6yruE2y/vggCAKahkaUFZXEujqJnD9HPp1G09S8ahIuF4ux/IN/JvDGcSRKJUVf+RrWow+v9MwVRUWETr5Hxu26qYj5wxBFEdcPv0c2EKD4a99AZizc+akbm8nHYsR6u0mMDKPfvRtBdutESBAEZHIdW507GPQNM5oIYTU1USJXko7NkgiNEnGfQ65xFtqMvwdo9UpGB1y4lyPsOVBDKpVdeeyqf5TGvBW9fSdQEE/3dy5SUmHi7ofWL62vB5nBgFSjIXr5Eqm5efR79234XLtTz+iAi/mZAA0tzjW+WZ4XXyDr9eJ89sub8lT7qJCq1eQTceL9fUQ7L+N96RjBt35HtPMyyckJsn4/cpsdTUsrxv0HyLjdpCfHqXv0QS5MBAstvl0Vm/7NS6RqYv4eskkvese19THrlXSOehibD3FoWykqxa25u8tkEix27brkLubvIREa4vRUMcPLep65u47P3d/AU3fV8cCeSva3FbO1rhhb8XbEfJZ0dAwhMcjeFgez7iTv9wWoLjHiMG/eu23BE+W//aqHXF7kL55q53BHKWcHlhmY8rOj0YHZoCJ9RQwPMDPuQxCguNx4TQ946RyBCxcx33s/6rp6ookMf/vLbjLZPP/xCzs4tK0UzZXzJh5Lc/xKteLhp7eu0j4plDKKy4yFzNCkBmtoihqjyJEvf4pQrNBq+qCn0B4Nnu3HI7XT0mSiZXfVmu/18gdTzLgiPH1PPUWWza+H1aFjdsJHNJzCWWpgaS7ESJ8Lk0WN2XqtNaZwOokGgkxLlJhPneG+9oMo15k0vOF7qc144l6G/KPk5zWMnfaTVUrY9ngzO5uKGOldxj8ZYFeTk9ZSMwvhLk7OvYBG4uHPtx1hn7OI6UicRN5EVDRgK59AFjXTN+rH8ebzqDzzmO87QtFXv867aQkhnZE7O9/H0bJaXyuKIm9fmueHx4eQSgW++Xgb+1qKVj3+2uTveGPmXWxqK9/Y+qU1cWebRVWRnpPdi4zNhTjUUYLiSpbpxWE3r56aoq7MyLMbtAlh8y7vqVyanw7+Ep1Cx1MNj60rv/gkcZtkrYPbJOvWoSgqRrttO/HBfmI93SSnptBu3YrOpMPb3cfC//ttkpMTqOsbKPvL/4C6brWTusxoIjU3R3xoEHVNLQrn5isBieEh/MdfQ7utA/N996/8uyAIaFpayXq9BRPVyUn0u3bfUNR9I0glUpotjVx0dTEQWaSj7kkqSg4hletJRmdIxebQ23YiCJ9sRAkUvksykWFhOojNqUdvLLQ/xXwWz9QLiPkM9uqnkMhULMwEePe3w2h1Ch55pv2m3kYfhrKqmtTMNPGBPiQq1ZpjdRUSiYBKI2dy2EMynqGm8do0YzYcxvPcz1DV1mG5/8hH/+KbhKqyivDpD8j6/SgcDjStbRjvPID1oUdwPPM5zPcfQb9jJ+raOpAIxHq6KS21sKQrpn/KT4ldh8O4uZayIAhkkh7SsXnUxgZkcv3Kv+dF6JnwodfI19yNfxwsTryCmIvxYm8Dzz6wlcMdpejU8jVtMEEQUBtqkGuKSITHEJPTtJcssadikeWlUYRcFLVKgVSuveF5Goym+PbzXYTjGb768Ba21duRyyQ4zGrODbqYd0fZ3ejgzV8PIiJy5PEWFucKweWuxTAVtVZkcimeY78i5XLhfPZLSNQafvDbISYXwzx+oIY91+mkrk6jel1R9t1VS2XdWp2UTq/EYFIxPuQhYKzCMn6asvvvZnd7OU0VJiYWw3hG5hAFC0oxydFn961pj8eTWX5wfBCTTsnn75Icn6AAACAASURBVFs7/n8jCIKAxaZluHcZlVpGx54KZid9jA26iYaTlFaYVt7PbLVyxh0kJ4Ltx98lcuEckYvniXV3ExscIDE2Smp2htTSIhmvh1w4jESpWqVrrTZW0tU/gdhtJy+TINlfyqdby2hociJTSpkYcjM25MYln+PlpVfRK3T8ecc3cGodaGRSdtiMZPJZ5uMCaUqQ2We4f2yI8uUx5k0V2L/4pwg6DcejeaxhP1te+xWphXl0HdsRpFK8wQT/9Eo/J7oWMGjk/G/PdNB8nf+fKIq8OvkGv5s5gV1t5c87vn5Df6+bQS6TIgjQM+4DoKXKQjhemCYURfjLp7bdMOcw2ttL5Pw5jAcPomnaeKrxwnInXZ5eDhbvp1xRgdmivU2yruI2yfrjhkyvx7D3DlJzs8QH+oh2dpL2eFj40Q/Jp1JYH30M55e+sqLL+DAUxSWETp4g7VrGeODQpi+Ayz/+IVmvl6I//bM17r6CIKBt31aYQuvvI7Uwj377zlvOP7sKjVxNlaGc88ud9HkH2VWyB5OpoaDTiUwglWvXNQD9JKDVK+m/vEA6laOuuTAgEPVcJB4cKPhHWVqJRVL85hc95HIiR5/cumbkfDMQBAHNlhbC584Q6+lG29a+sau6Xcv0uI/56QBVddYVUX343FliPd2Y7ztSIDa/Z0gUCkyH78Ly0COY7zuCfvsO1DW1yK3WNRNGyuISgifeITU3y64vfob3e5fpm/ByZ1sxik1mC4r5LIngEDKFCZXumn6qyKLmrUvzuP0J7t6xOQH8zTAyMYwicYFRj4XdO+9bRU42glxlQ2ftQKEpRirTkk7FsakDCOk5Yr4uIu5zpKKzZNPhQktOfk0cn0xn+W+/6GHJH+fxgzWrWmrFVi1z7igDU35EX5zQcpSOvRW0bC+lodWJ3xNbyXF0WGSEX/oFqupqLEeOcm7AxWtnpqkrM/LlB1drk8YG3XSenaW43MjBIxuTH6tdh5gXmZ2PEVJYKcWHuqYKkzrNoW3VLF6cIYOcaMLDaXeO6hIDhus25pPdC3SP+zi6t4LGDYLVbwSdQUUoEGd+OkhNk53dB2twLYSZnfQzPuTGXqRDb1ShlkkZDsZYUutpXZhACPjJuJZJLy2Smp0hOTFOfGiQWE830UsXCZ85TfCdtwo3Cc4ipDod/qUES+9DXhDwdth5ZnslJqUcrVaJWivH6tQxNujCP5VB0Gf55v5nKdJeOzckgkC9UUe5VslgIEROKCavlGMK+XjOdIDTQ15yZgWLmQx3VxVjcy0Q7+slPjnJRWkp//DKYMEGotbKt57YuspBXhRFXpl4nbdm38OhtvHn27/xsQjWVVQ69XwwNsy47AR9wW6Ge1VML8V58nAt2+pu3CUIvPH6FZf3Z27o8v6LkV8TSoUpGWtj8KKbfYdqb5Osq7hNsv74IVEo0O/Zi5hOE+vpJjIyisxmo/Tf/jmGfXfccNORGY2kFuZJDA2iqt5cRllifAzfyy+haWnFenT9ErEgkaDr2E5ycpJ4fy8Zj6dwt/YRN0Cr2oJWrqHL08d4cIrdRdtRa8uIei+Tis2js+1cV6T9caFSy5md9LEwE6B5WzEyaQ7v9AuAgK3mKURRyvFjfQR9Ce64u26FiH0USJRKlGXlRM6cJj4yhHH/gXXHoQVBwGhWM9rvIhRI0NBaMGz0vvQCGY+n0CrUbNySEfP5T2wqU5DJbziyfe3vZORiUeKDAxjLS9FWV9I56iUSz9DRsLGp6fWQyrRE3GcBEZ312iSmXCbF7Y8zPBukodyEfZMu1huhf9LH2NAbFBuiKCx30dG8flVxPUgkchRqB2pjPeaiPfQslfBWT4a8oKbILCOTWCAVnSLm6yaXDqE2NpIXRf7x1/2MzgU52F7MU3etjfOpKzVypnsBpSeBWi3j/sdakMokyOVS6rc4ECQC02M+Roe8KDJxKg7sJGYv5e9f7EUqlfDvn96GTn2ttXzVYkSQwCNPt6NS37ilX1JhwrsUYjkqJ+J2oTOfJrx8krFRM3MLWUriU8RaW+mfCfJ+9yLpTJ7aUiNSicAPjw+RSGX52iMtKG+xnXsVjhIDg92LLM2F2LGvQDBFUWR2wsdw7zK5bJ7iciOpfJ6xSIK6+++j9YlPY3n4Ucz33IfxwEH0e/ai274DbetW1I2NqCoqyfr9xIcGCJ54B/eMh3d7s+Ry4G23EtHNsNuux6Q0ruxPQ6kBziZOYfKXoPc6KbHbsK2ju7OqFLQGvcxNTrFQUctoQyPNtTJmJ9L4jDKkcilP1hVj2bOHxTk3Pw/aOT2fQSmX8MUHm3jicO1KSxc+RLA0Nv7d9q+va21zq0hkk/xm6nUmpadAkSCcCbOcXKJS1cCXHthyw+tEweX9x0jUqhu6vC9El/jN5O/YYmkk02XGaFGz846q2yTrKm6TrH8dEAQBbUsritJSjOUl2L70tU2HuiqKiwm9d4K0y7Wpapb7pz8umBx++SvIrRvf6QhSKbodO4mPDBPv6yUXiaBt2/qRN/hKfRnBVIgB3zC+pJ8O53YQ8yTDYwgSGSrd+lNuHxf5rMjMhB+tTola1ksyPI6x6ABqQx1nT0wwMeyhtsnOvrtrPzZ5UTgc5FNJYj09ZMNhdNs61v07g0mNazHM/HQAh1ODZLSHwNtvoqqqxnLkwdWfP50ubCTvvI37+Z/jffEFBKkUVe0nn813IyiKigm++zZZr4dtzzzKwHSQngkvDWXGTREjiVRBPDRCOrF0RZd1bcM2aK4K4PPsusVok+vRPeble6928ciWUQSpjvrWx29Nq3hlpP/qcyqLrSxHNLxyESbD1dx78CG0+nIyqQDJyDiCRM6xM0nOD7porbbwtUdakK5T8VUrZQQm/aTDKfJ2DXuuq3QJgkBJhQlniYGpgQXc2irSehu/7XezHEjw7JFGmiuv5Y+Kosjbr14LwS6vvnk2qSAIVNZZmegaxpO1IpWEkcuyXLhgRp5JcLBZwr1P3UOlU8/YfIjeCR/nBlzEU1kuj3jY3ey85ay866FQyhCEggYtlcpRXW+jrKpg4Lo4G2Rm3MfMuI/mWhudkRjZvEiHrVAplCgUSHU65BYLCmcRyvJy1DW1aJq3YLr7HpSlZYS8Ec6k6sggJ9SkI+3QEIm/znx0jn3Fu9BpVbw7cYafDx9DroNHdx1meSLG+JAbtUa+Juw77XLh/rtvUz3Si3T7FhYFLSFBS2mtQFquJumOM9nvwRtJ89y0nIBUS0N0hs9l+2l/8ABS5bU2uiiK/Hrit7w9exKnxs6fd3zjYxMsURTpdPfy//X+iJHAOHa1DWY7SGZTSE1eKsvk7Cq58bW64PL+1k1d3t+YfoeZ8ByHTXfhGc5Q2+SgqbX4Nsm6itsk618XlCWllO7fTSIjbvo5MoOR1OICicEBVFXVKIo2JmfJmWm8L/wSdX0Dtk89ftPXFmQydNt3EOvvI97bA/k8muYbOxJv+FqCQLO1kRH/OIP+EZQyJU3Fewl4O3GHpgjKbUxHFhjyj9Lt7uPc8iVOzp/m4nIXbbbmDX1ybga9SUXvxXli0QQO4wdIpGpsVZ9hctTHmXcnMFk1HH2iDZnsk6mkaRqbiPX2EO/rRVFSgrJk/VaoWZkh+cE7qN5/kcSl8wDYnnwaZWkZGY+HyIVz+H7zCu6f/YTw6VMkpyYhl0OiUBLr6SI1M422destT4B+VEg1mkLVdHgIbVMz2+/YwlsXZhhbKLi2byaOJJvyk47NotRVIldeIwdmvZLLIwUB/OGOUpSbbEFej0vDbv7plX46ylw0OnyYivej0ldt+vmiKDL7X/8zsZ4uDHuuhXI3VZjwR1L0TfiY9aTY39GCztxIPDBAPDjM6RERjdbOXzzVvuHnDvjidJ6cJCsV6AwnqSs1rrGs0EpSyF/8J8KWChZ9eeSJGHtbwmyvdBP1XCTsOk0qOsPkuEDfZe8thWBn0yH8sy9gMU+ysGhn2W3HF7CTSsloCZ+m4XNPItVoKbJqONResNjon/IzPBsE4Av3N2LdpP5uIzhKDEyOepib9FNaYUJvVKE3qGhqKyKZKMQmTQ240CplzCpEqg0azMob/+YFQSBntHNiXEk8LaB05liqc7Lj7Nvc3T3LUsZPzm7Gnfbxg+7nUMtUfKvj69QXV1BRY2Fq1MPEsAepVFiJYsrF4yz87bfJ+v0UPfsltu/bj0WeYDAYIElBSyj3eRmfiDI8E0Qpl/KVh5o4lJwg29dZkAts245UrUYURV4af4135z7AqXHw7zq+jlF56+a318Md9/Ivg8/z1ux7ZPM5mlV7cIT34nPLiCybkRq8eMVZPIEU20o2jmMKnTxxxeX90Q1NidO5ND8Z+iVamYb21F4WZ0K07y6jrNJym2RdxW2S9a8PH2UtFcWlBW3W8jLGgxtXs9zP/ZT00hLOL3550yamEoWikDfW1UmsuwvDvv0basRuBqkgocXaxCVXFz2eAU4snOH9aJjLyRTnXd10e/oY8o8yFZ5hMbaMPxnAm/QjCAJNls23fa6HXC4l6IszPx2iyOmiqOY+4kkTx4/1I5EIPPpMOzrDx9tArocgkaBpbCJ06gNifb3od+9daf+JokhyYhzvsV8ROvYc5vgSeSQIHfspfvQoqakpPL98Ht/LLxHr6yXjcqFwFmG4405sj38Gx2e/gOHAwYKGr7+PyKULqOvqkZk+mXDtm0FmthA+9T65eJyWx47g8cXpm/SBwKpqy40QD/QhletQG65ZVAiCQC4v0jvhw6BR3LJH1dmBZf75NwMo5BKe3TOLIKawVT2OZB33742Qnp/D98qvybjdmO65b4W8CoLA1lors8sR+ib9eEIJdjSVMuHVo8iM0Oz0cXjvAYyGjfU1J98YIeCLs/NwDZ0zAcbnrxHTqK+bwMJbhBZPotyuoKzaRTqtIBw0EvfLUEomUMkXEfMZwv4gp0/pkUjg3qMmNAbbTUlWLDCAZ/J5sikfBmst6rPdLMkrSGXkFDs9NDdGMHdcG7SQSSVsqbKws9GBN5Sk3KHjyO6PnvV4FRKJgM2pK+Q+LoRobi9GIpEglRVik2xOHXNTAXKLMVS+JL0LAfLZPFatErlCuu77p5JZXvtFDwFfnIadpXRWGLFJBe73zSBMTFE3l0K82E3fZCcSpYo/vePrVBgKVUSNTkFVvY3pMS9To15y2RwlZQaW/vE7JCcnMN13BOvRhwEo1hppNSm5tDxMaCpEYCoHSBC0QURliHpnMa1HDiKmUwXNWNdlNG3tvLz0Lv8/e+8dHtd13Wu/03sFZtB7GTSCvYmdFIu61Smr2JZb3K4dW3Zi58tNnNzcm9wodiw7SmJbbuq2imVRhaJEip0gwIJGYNB7mcHMYHqf8/0BkiJFAgRYJOv7+D4PHwIze/bZZ5+DPeusvdZv7Rk8QOYVGlj+UAz7oIsXWt7i1f6XcEYmSHrTiLQvYqRHT/9YkGgsyeKyDBZkVNMdtDOS6KazK86i/OKLPgA5XnyeVChExiOfmzZkoH78BMccjWzIW024Q4HXHWbVplKMJvV1I+sM142sTx6XM5dSvZ7Y6MhUuZSCwouKYkaHh3E+/wyKwiLS7753ToumWKlErFIRPHkcsVJ52d4smFJoLjEW0ecbRClRkqPNIpsIxVIxKwpuZHXuKjbmr+HmwhvZYlrKUcdJunx9rMxahlI6+2LJ5xLzt9LXA0qtmaKqFex4sYmgP8am2yrJKbj6BopEq0Oq0xNoqCfa34du6TJ8dUcY/82vcL/xOrHhYeTZOWi33cZ7sRqGozoM7/6OaHcnqVgUTc08TJu3YH3wYdJuuQ1NdQ2ydAsisRixQoHutKcl2HgS36EDSDRaFIWX1vW6UqQmE6GWZsL2dizr1lCQb+FI6xgtPW4WlVvQa2Y2aiQyHT7HYVKJABrzgvPi8KYU4IdweEJsmkMA/P7GEX71RhtKhZTH7spAEmpAZaxAm3bxrdrp8O7dQ9jeDoCyuATFOU/3YpGIheUW2vs9NPe4GXGF2FE3gTeqoibTgRDpQ22ed1Hdt9EhL0f29JCZo2fTTTYisQRN3S4EUmRJG/CO7iYZm4R4AsEdZTiWiTMlUJhnwjUuYXjEis56A7Ylt3HogAzvZIrqyk400qOEJ9sRS+TIlOkXZD6mklFcAzvwjb0/leWXezPGnBuRucaRtDUgKFXUzO9EZhWhy1hx3vYtgE4tZ0V1JksrM67afaXVK4lG4gx0uxEEyC384G/PlKbGVpOJ1xPCPxpAMRnD0eWmqX6I1pMjDA9MMukKEYsmkcnEiCUi3vpDM+OjfirnZ9GRp8QbT7K9LIfCG1agv2EVA/4hFENO8sfjVHQF4PAxYqMjCIKAzGRGpVNRXG6hv9tFX5eL7oYupL2tpFcWk/m5L5x33n5/ihOHfEwMxZErBLTlbYhyW5GkjXIqeJxDPe2YF9SQqc8kcvIkI/bjvGIaIlOTwTcXfRmDYvblyqLxJG39HnYfG+bF3V28fKyO44k3cYv7EOJyGKwlP7WEBcU5rF+YzR2riti+qYwV1ZlU5lnIlOdzcqKJCVEvB4/EsGVmYTinasVsVd5f7HiVyaiPhyvu5fj7Q6jUMpasLrxeu/BcrhtZnzwudy7l2dlTsVljoxjWrr9gYXS++Dyx4SEyHvoMilkUAb2g/4yMqQyzkWFMmzZfdrYhgFFhYE3OStbmrmR51mIqNWaswU7yVGaKstdikOuJHzuB46dPIPEF6MqW4WttwibLQmoyzWnRD3s7iLjfom8gh1BYi8sRZGRgknlLci6qEn61UOQXEBsZJtTSjOfddwgcqyfp86FduBjrQ49gvuNOYp3t+Dt7mFBmoUo3U/HI3VgfehjDylUoC4umDYAXiUSoKypRlpQSaDpJ4Fg9ccc4muqaWQWyXy4ikQiRUkHgWAMAmup5ZJjUHG4dZ8DhZ3Vt1ozXRiSSkIhOEg30Egn0oTZUIDpTvFomYcw1FQBfkW8ifRZxXk3dE/zXa61olFK++8BC9Ml64uFxzLnbkCrmZjw7X3yepHdKJFSi0V5QJkkqEbOo3MKJzgk6Bqe20R64aQUWg4Kwr4NYaASNueY8Y+eMwG3QH2XzHVXoDEpKcww0tA1ToTuETtSFVJlOeuY9uB7/I16nkf92L6Ugv4Y7ti05rdzuob/LQ1e7g4nxCPklZtZsWYiQihMN9BH2thN0NQIgU1oQiaVEAwM4up8lFuxHrs7GWvIQKv1UzKHUaCT+zqtkeLuQm5WIrGKkciNy9eXHXM2FrFwDna3jDPS4KSxLQ33Ol79MLqGsKoPqhdnIrWo6U3ESEhHyuIBnPMjooJeuNgdN9UM01Q/h9UQoKk/HvCKHw04f1SYN67OnPKoStZqMhSs4VamncNEyZDItcccYka5OAvVH8bzzNuGuTmRCAtvKcnwjE4z7JYzqS4nkV2LJ0qNSyxEEgT0nhnny1RbcvigrqzN57P5F3FK9nKo0G5KUghGvm7DMSYu7jf2KEQrcYB724a7M4asrv4ZePrOBJQgCw84gh1rGeO1AD0+/08GhljF6RnzE9D3IShoRSRNUaRbxhZqH2H7DUtbOz6G2JI2CDB1GreK8WpLZRjP5ulyOOU4QVY+w5/0EMpGSkpwpPbbZqLyPBMb4U8/bVJltLNAs5GTdIPklaZTYLNeNrHO5bmR98rjcuZTq9MTGRi9a/Dc2Po7j6d8gz82bMZNkJkRSKXGPm3B72+nYr6u3KMuUFsKT7UT8PSjkBTh/9zzuHX8CiZSSeTfQJB6nTxUh6+l3iB+uR0gmkVszLhmPlIh5cXY/h1gskJLWMjYcwj0RJDNHf9HSIVcTkUiEurKKQEM9QiqFcdNmsr74ZYzrNhB3Ohn52b8TaKjHKI8xoi/HIzFTu3k+cuXst7jkViu6ZcunskCbmwicOI6qogKp7sriPmY8ZkYmvoMHCHR0YFi/kawMA8MTQVp73Rg0coqyZj62ylBKIjpJxNdF2NeN2lhxdltPp5ZxoHmUREpgiW3m7exkKsXPXmkmGInz/YcWk5suxT3wOlKFEWPOljnd43GXi4mXf49Hk40sESHocBGtWIbeqDyvH7lMwvzSNEZdIe5YU8SicisKbeHZotOpRBiV4YNt7d6OCRqPDlFsS//AoE8FKVW+h1XtYjSQRlntowTrThJqaWKvugJRbgFf/VQNUokYjVaBbV4GLmcQx4gfuULKLffVotYaURsr0ZzO0owGB4n4OvFPHCMeGmVy5F2EZBR9xmrSCj+FRPbB9r5UryfQ1EhychLDkg3EtRMkYu6pDN+PIJFCIhFjStfQ0TKOY9RP5fzMC44rk0vItuooKTJzTC4wlq1i3qIcVtdkYUrXIFdIiceSZOcZWHtrJc/1jpES4JGybFTnxFaKRWKKzMUU1FQjLq/GtHkrmnm1SPUGksEgka5Ogs2NBN5/F/NwI5aUi2RxDcODflpPjOCZDPPa8UHePT6MUi7hi7dWcduqQuTSqe1Lk9LIPKuNzUVrGO8xMjiUQCRJkZIGKBmKsbBoBenVC0kkU4SiCbzBGG5flHF3iOGJIF3DXnbVD/L0rg7erhugtc+NczJCjkXDqppMbl6VQ4f0PaRiCd9Z/FU2F9+AQa2a1XWyatIxqUw0u5uRmCZobFDS0e+nssBE8O3XiTscWB96ZNoHubf73qPPN8inSm8hMiKmr9NF1YIsMrL1142sc7luZH3yuJK5lGfl4H1/N7HRUQzrPvBmOV/6PdGBfqzbH0SRm3fZY5OZTHj37iEViZwXHHyliEQipHI9IU8L/pZ6wnvaUJaUkvvtxzCuuAGdLp2TrlZSWRbyG6e0aSbffYfY6AgSjQZp2oWxKYKQZKLnBRJRF/kVn0KhzcfeMo5SLeO2BxagvET9tauBWC7HsG495q03o6mZhxCPM/70b5n4w4ukgkGMGzeR+5WvIVUr6etykUoK5BfPLrbpDBKVGv3KG0hFIgSbTuI7eABZevoVXeeZEInFCMkEweYmpDodqpJSynIN7GscpbnHRfuAh+5hH+PuEIFwHAClXHLWoI2EE3h9mUCEVLSHgKuNaCKPWFyMTiHlZI+L7mEvq2syUc1wjfY3jnCgeYy187NZvzCHwMQxIr5O9BmrztPhmg2+wwcJtTTTb6xGJhOj9Y+xd0BHZ7cPmUyCMU19dvxqpYyVNZnkWqZS/6fETMunPKa+TsQyDQp1Nslkip2vtBKPJdl6Vw1KlYxYaAxH19OIkh4G/AX86nARRr0W1fs7SHjcvJ2xih98eQ1a5QfeSKl0SuZBZ1Qxf2nueTpuYokSlb4UbfpixBI5sdAIsdAIErkRS/F2tGkLLiqgKjOZSfp8WO7aTjLlJRroQ6ktmLP373IxmFT4JsMM9k4VRc+aJgZPK5NSbdLS4Q1iD4RBI2P9vGzKqzLQ6ORk5BhoiETo9IXYkG2mapoSN2fWVJFIhMxknspMXL8R/arVyKxWSKUQ4gmKvvQo8zbWkp6hY2hwEseQD7E3gtWk5uufXkhZ3sXj7sRiEYtKcshQ5HDiqAqHP5elng6c/WP8Q6uS1w728VbdAO82DPH+iWEONI9y5NQ4JzonGHQEkEunvKTblufz8BYb25YXUF1kptnXQPPEKbbkr2dp5ty2vwHydNkIQooufwc6i58hu4EDTWOMTgTot5bTIzbTNuDBPjhJ19AkPaM++sb89Iy52O18E7VMzQO2uzh1YpSJ8QDL1hah0So+ViPr2le+vc51ZkCRnY1u2XL8dUcInDiObtFi4i7XVI3EjEy0S5ZeWf95+SgKi6aCst1uZOa5GQTTkYrF8L15lJQ+jDhPhen+baRvuu/sluSSzAXsGnifZsa55R9+gPpkB959e/HXHcFfdwRZRgZpt96BfuUNZ/v0jr5PNDiI2lhFeu4KBIWfVZtKycozoNVdXmzXGeJOJ55dO4kODiCzWJBnZiHPykKWkYXcaj1vy04skyOkUkzueY+JV14iFQ6jKCgk4+HPoCycctXXLFTS3DBMy4lhapfmnlWnny0iqRTr9k+jKitj/NdPMfaL/yba34/lvu1XdJ7TYVizDveOP+F5bxfGTZsxahU8enMFz73byak+D6f6POe1F4tEpBuVZGoUKMcCCIkUYMRWlkdp8SCe/qepa5hHMKRGjkACgX//zyNsW57Pyg0X1nCMxpL88UAvcqmYO1YXIQgCgYljIJKgSVsw5/PxHTsGQNBaQmlNMa4X+6gwBmh0anlvRzt1+3qpXZJL5fysi1YDEEvkmAvuY7zjKdwDb9FYH6CnR07QH6NmUTZGs5qwt5OJvpcRUjGM2ZvQqhajOFbH2+808mhPFwOqDDatq6Q834TT6T+vf5FIRMW86bOGJVI1hsy16Kwrifh7UGoLEUumv8c182rRzKsFQCdaTmiyFb+zDqVu+gLBV5tVm0oZ6HFTv7+P4vJ0DNOULzIpZHypIpffdozQMOEjmEiS3xfk1LFh4mop4ysyMCmkrM2au4EoS0vHtPFGTBtvPPtaOJpgd6eDQ4EIGWIxhRIJSU+Et55vZPnaorO6dhdjWWUGeVYtv36znf6JfEome6nVhAmbs1AppCjlElRyKUqFBKVcglohpTjbQF6G9oIi05FElHcH9qKSKtmQN33c1KW4pWgLE2E39eMnKLuhl/4jJTTrTv9NHRua+l+UQqzxIta7pv5pJxGJBYSxAtr6Jhkb9iKViUmzXl7C09XkuifrOlfMlc6lIieHyT27iY2OYFi7HtdrrxDp6cZy33aUBVdHiyrYeBKJWo3aNrfK8Rcj0t/H8I8fJ9TchERiQFQoRWLRoElbcHYxm3LNG2gYP0mAKKtvuAfjxk2oK6sQkkki3V0Ejjegrq5BZjYT9nXhGXwTqdyEpeQBtLqpMhAZOfqzCuuXNdbeHhwvPo/jmd8S6e0h4XadLW3krz+Kd897uN/cge/IYUJtrUT7iRi5dQAAIABJREFU+4k7HTiefRrf/r2IZDIs920n45HPIjN9YKCKxSKUKik99gkikTjFsxT4/DCK7By0i5cQbG0m2NSIfvXaa1IDUSyXI40E8DU1o8jLQ5GdQ3a6hq3L8tm6LI+lFVYqC83kWbWk6RTIZRICvggGdxhJChwILFiQjdZQTCopRqseJi/PhcpQQprehN0dJCYSIQz7KK+5sMbj23UDnOyc4KYV+SwqtxAN9ON3HkFtqkZrrp3TuSSDQRzPPYNPkUbuXbeTVTwVe5hRkMbiz9wKAowNe+nvdtN6YphYNIEpTUMsmmCw101b4ygNB/s4tGeQiQk1OdkO1Iphxp1WcosyWbmhhPDkcVz9f0SEiPTCu9CmL0alkKJSSEk0HKY4NEJ34RLu3L7uiurCiUSSqSB48eyf9yUyHRFfF9HAVPC+RHrtamaei1QmQadX0tXmwOUMYpvBeJFLxMxP0zHgC9PpDzMUjpKVBEepnphSQrUvRXVh2rSfn+2a2jE4yY9ePIl9YJKCDB1f2b6AlauLQATD/ZP02J0M9U9SXp0xbaiBTi1nzfxssix6/PV1LJmXy+btm1lWmcGicgu1JWlUFZopzzNSlKXHqFVcdNy7B/dPebEKNlCdNr0Uw6UQiURUp1fSNdlDX6iHFWoPW4/XsfCeWjKqo0hzuolaGxFbBpDo3YgVEdJkVtJTpYy15XKoxcFkKEZJtp6a0/Ie17cLz+G6kfXJ40rnUqLVEXOMEz7VilSnw/3mG0jNZjIf+ewVBaufQZ6Rgee9d4mNjmLctPmy4ziEVAr3mzsY++XPSfp9UzFLn/kq8aiDSKAHhTobmfKDemxWVTpt7k7aPZ3UpFVgVBqQpaWjW7QEVbkN36EDRDo70axYiLP3BQQhibX0QaQK0xXNqZBKEWxuZPy3v8b1x1eIjQyjyMvHcv92Mr/wZfQrV6GuqkaRX4DUbEYklZFwu4gNDhDp7iJ4Ov5Ft3wFOd/4FurKiysxmy0aejsnGOr1UFyejvoSmXrTIdFqQRAItTSjyMlFmX9tRF7NJQWMvfkWSa/3vAwlqUSMQasgJ12DLc/IonILy2wW/HYX8VCcLFs6R11BPMkU22+rJquwArFMQ9TfjlE/TO2SJUwEZPQ5A8iAMWeAiERM97CX9v5Jjnc4eLNuAIlYhFoho77dgWeiA4PciaVgG1L53EqVTBw8TLTpBM6MapbcvwGpTofvwD7ijnEyb7+VgtL0qUBshRTnmJ/BXg+NpwOvu9udjI/4CAWipFu1ZOXnoTWYkIt7KSqJULtiIwHn+3jH3kcs1WAtffA86QqrbxT9+69BKkXF17+C3qj7yNdSkUiESCwj7G1HhAiV/tqXdDqDKV2NczzAUK8HjV6BJXP6APGQL0LfO934RRBJVxLL1eKXidH64yTrxvC6wxSWpl3U+LnUnEbjSV470Mtv3monHE1wy8oCvnhbFQatAqlUTG6hCVtNBp6JqaQZg0lFesbFtybPIE1PZ3LPe8TGxjBtnluMYCQR5anWZ5CKJTxa/eBlawSeQSISU5teTaOzhQ6pi/ZyKScTHfQFe/HGPWRoLCzOmM+Wgg1st93J1uJ1rC6qZUGpBXu/B0ckwVAoRppBSY5Fc93IOpfrRtYnj6sxl4rsXCb3vEewpRlSKdLvugdV8YXbLpeDSCoj4Zog3N6GqqQEuXX2hanPkAwEGPrx4/gPHUBiMJD9la9j2ngjIokEmcpKYKKBeNiBNn3xed6sdFUadWPHcIU9LM9afLY/WVo6yUCAYEsTsawRUpIQppwtqI2VwOXNaSoex3f4IGNP/ZzJd3eRcLlQV9eQ8chnSb/7XpS5eYgkEiRaLfLMLFSlZWgXLMKwZi3mm27BuGET2gULUZWVYd56M6bNWxErp98GFIlEaPXKs8Vzy6rnPq9nECuVePfsRixXoFu85LL7mQljVjru1nZCbafQ1M6fVqsrEU/y5h+acY75qVmUzZZbKvAGYzT3uAGBygIzCnU2UoV5SuDT00K61cYRe5BJoM8b4ZjdSWOXi9Y+N13DPgQBUgKMukOMukK0jcipG8jB6VegUkhJMyhn/aXW9dsXkPkm0N1+L2aLFpJJ4uNjRLq70C5chNRgRCqTkJ1npGZxDjq9kmg4jiVTR0VtJotvKGD1ljLmLc6loCQNc0YhyWSYiK+TgOs40UAfMqWFjNJHkKs+COb3Nxxl9MmfIkmlSHv4s2TUVgMfz1oqU6QTcJ0gFhpBZ1k6J0/YlSASicjKNdDWOMpQnwdbTeZFt2NHh7y8/nwjQW+UZflmjLl6egMRxCL4QnUevrEgAz1uxoa9FJWnX1Dkero5HXQEeP1gL0+90capPg/pBiXfvKeW1bXZFxhrcoWUrDwjLceHcbtC1CzKnjmTViIh7nQQ7rCjLrchs8zeOz3lxWpja8EGqq7Ai3Uu0niS9Nf2Y9eGUMqULM5dzI3567iv/FNsKVhPdVoFmRor8nMMOoNWgSYYxzHkxSeC+nYnLm+E1QtzrxtZZ7huZH3yuBpzKdFqiTkdxAYHkRiNZH7u84gkV682oFRvwLt/L0Ishm7p8jl/3vHM7wg2nkS7eAm53/w2itwPyoxIZBoSsUki/h5kCjNy1QfGRprKTM9kH+2eTsqMRaSpPthyU5XbCAROQI6AXJaHufCWs4vgXOY0FY/heedtRn/+X/jrDpMMhdCvuIHMz38J89abkFkss/oCFysUyNLSUOYXIEtLu2R7mAoIHhn0MtTnOauKfTlItKe9MePjmLZsuyZZYxqNgohYgf/IIVLR2EWNuVRKYNdrpxjs81BSYWH9TRWIxSJseUaOto3T1O1mXkkaJp0CuSoDmTqT0OQpFIl2LJnVmDUGUhMhSq1abt1QyrxiM83dLgxaOT94aDG3rypkaf440lg33riZjqEAh1rGONg8RigSx2xQopkheN474SP46vPEFFpyV8xn+F//Gd+hg+iWLSfY1IjMmoGq9INsQbFYjCVTR+X8LEqrrGTlGtAZlBeIPSp1xcSCg8QjTpS6IqwlDyKRf+D58Lyzk/Hf/QaxXE7217+JcekHsZIfx1oqEokRUrHTBdv116xg+8WQK6QolFNb5T5v5IL6oR0tY+x8tZVEPMnarWUsWVVIhVGDXiZlQZqOUpOWskor7okggz0eBnvdFJWnIzunzuK5cxqNJTncOsbTO+28uq+H3lE/WpWUzUvy+OJtVWSYp68bqlBK8U9GGOrzkGbVYrpEMXmxUoXv0AGQiNEumL50zblEEhGean0WqVjKozWfRnYR7bW5kgyHGf7Jj6C9izXaam6/+zFqrTVkazMvqT14/HA/gjfKlz67GE8gRiolsH5J3nUj6wzXjaxPHldrLhV5eQQaT2D51N1nA6yvFhKjkeDJ44S7OjGsXTejh+bDhOztOF98DkVePrl/+dhFPytXZ+KfaCAWGkWXvuS8DKlMjZWDI0dxhJyszFp61oCIhgcJSVsRfHES77gx3LD2rGE52zkVkklG//M/8O7ZjUgExk03kvXFr2BYtRqp4coLul4KkUiEKU1NW+Mok64QFbUXprfPtp/o0NB53pjLIR5PMjbkZaDbjUIlPa8QsUajIKY2EDjWQLjTfkH8lyAI7H+ng85TDnIKjGy9s+asMSKTism1ajnYPErn0FRhZYlYjEyZjkKTR3iyDavMTnV+kiy1C53goDQ3Rd/IENGonztX51Kaq0epkBMZ20G+0c2d2+6hutgKIugb83Oqz8O7DUO093sQicBqUiH9kDF07Pld6AZbELILCe9+C5JJUuEQqUiEhMsFItF5yRRzmX+VoRKFJhdD1rqzEhVCKoXzxedxv/4aEoOR3O98F3VZ+Xmf/bjWUpkyHb/zKImoC2360mtimE+HJVPH8MAkg70ezOkazOkaBEGgfn8fB9/rRiaXcPM98yitnHrgEolE5GiUZKimDASxRExJhYVwMEZ/t5veDicFJeaz96tGo6C918WfDvXx1BunqG93MumPUluSxn0bS3l4q42qQjMy6aXDKYxpalqOD+P1hKlaMLMunNRsxndgP9HBAYybt8zqQXf3wH6aXW1sK9hI5Sy8WIIg0GN38vbLLXS0jlM5//wxJYNBhn/8OJGebnTLV5D1hS/PWksvlUpx4N0uDCYVN6wtZnlVBssqM65vF57LdSPrk8fVmkuJRoPpxi0o8q6+4KZIJIJUimBTIxKtFtWHviimIxWPM/LEv5MMBsn+2jen9fCIJUpSifDpJ2vNeU/WRoWBkcAo7Z5O8nQ5ZGisJOMBHF3PIqQSyIeyCTe0wmnBTpjdnAqpFOO//RWBhnrUVdXkff9v0S5YeE0Cx2dCq1PgdgZm/bQ8HalYjMDxBmTplllfn3AoxlCvh7bGUY7u7+Xgu120N48x0OOm5fgwPm+ENKsGhVL2QVq8RDpVCUAmO68SQP2BPprqh0i3arn1/trzPAsAFqOKQDhOU7eLREKg+nShY6nChFJXRMTbQSw8ikbtJc3sIxXrJ1M9wvxsJ5pUG37nEXzjB0glI2jM89CY55FmULKwzMLmxXlkmtWEownsg5Oc6JxgX+MItcVpZ1XpPRNBhl/5E/qoC7HPhcxkIvc73yMxOUnoVCsSnY64w4Fpy9bL8gKLxBJkyrSzDwipeIyxX/wXvoP7kWdnk/fdv76oKPDHtZaKJXISUQ/RQC8Kdc558ZDXGpFIRGaugbaTI4wMTFJWZWXPm3ZOnRxBb1Ry+6cXkJE980OOSCSioGRqzL2dLjrbHBgsGpr6PTy1o5WX9/bQN+pHp5azZWkeX7i1io2LcslK01yQ2TcTKrVs6t7pnyQjx4DBNP36IBKJSHgnCbe3ocgvQJF98RqBZ4gkIjzVMnsv1tiwl12vnaKpfohoJEEwEKO8JvOscZkMBBj60b8S7e9Df8MqMh/94pzuZZcjQPOxYYrK0iksSz/7+nUJh+tc5yNAt2Ilzpd+j3f/Pkzbbp5VUL1n51tTivQbNqEqLp6xrT5jNQHXCSZHdhN0N4OQQiAFQoplQoRG4JVTz2IymUGII6TiGLM3o61cQPioHfdbb6BdtHhWgd+CIOD8w4v4Dh1EWVRM9le/MSfv3NVm2dpiejsmqNvXS2FZGuLLSFg4Y/CETrVivumWi7YJ+CIM908yOuRlbMiLxxU6+96ZWnNZeQb0BhUtJ4axN4/R2TpOeU0GW26biiHSrVjJxCsvMbl3D+ZbbkOsUNByfJhjB/vRG5Xcct+8i8bZANyzroTmHhc7jw6wsDydstwpj5tCk0N2zbdIJcKkEiH2v9OE1+3GI4+xZlE6aTqBVDxIMhECIYE+Y9V5/SrkElbNy2LVvCwck2H2nhzmrSMD/Oj3jfzgocWkGZQc3d1BdnCQFGKUBfnkfuNbSI1GMj//Jfr/8e9ITEwAEOnuPmusXy7JQIDhn/2ESFcnqnIb2V/7H5dd//NaorMsI+huxO88ep6o6keB0axmyepC6vb28tzP60jEU2TlGdh2WmNstmTZLCgcfo53TrD/91NK+GIRzC9JY92CHOaVmJFcYQLQopX5dLc7OX6o/5K6dvoVK/HsfAv/0SOXjI/cO3SIYCLErUVbUM2Q5en1hKnb20N3uxOAovJ09EYljUeHGB2cCsxP+HwM/dv/JTY8hGHtOqwPfWbOiU9jwz4AMnOunbjxXLnuybrOFfNJmUuxTE58fIywvX1WgZ0xh4Oxn/8nEp1uyoiRzbxwiiVyRGIpEV8XyUSQVDJMKhVFEBKoRSImU0l64zHSZEqylAY0pnlTWzMyGfLsHPyHDhLp6cGweg0anWrGOXW/uQPPG68jz84m9zvfm1YF+aNCpZYRDEQZ7PWgvUTW1XSIFQoCJ08Q7e/DtHnr2S2CZDJFb4eTg+92cWBXF72dE0yMB0gmU2TnGbHNy2TJqgJWby6jZnEOeUVmrNl6qhZkY0pT43IEGOqbpP5gH0F/lPRMA1LihFpbkKalMxxRs+cNOyq1jDs+vXDGuDKpRExBpo4DTaPYBydZU5t9dktPJBIhlsiRyDSMBeR0NUeJRU1su3UDakMZalMV2rT5aNMWIpFOf700ShnVhWYUMgnH7E5ael3kE6TzYBv53lPI0tMo+Nu/P2v0iOVyVGXleA/sA0FAJFdcUGJnLsSdTgb/7V+IDQygW7qMrK9+A8kMBvzH+fcvkemI+Hum5BxM1TPO67XAmq2nv8tFwB+lYl4mWz5VjVw+s+8inkjR1u9mV/0QT7/TwZtH+hlwh0iIQAdkikSsK7VSoFEgjiXxusME/VGikQSCABKpaM4PMWqtAseoj+H+SXIKZo6dlOj1BI7VTxWd3njjtOteJBHhVy3PIhNL+dw0XqxIOE7dvl5272jH7QxizdKx+Y4qFq7IR62R03piBIVSRp5VytDj/0JsZBjDhk1YH3z4sjLLmxqGcDuDrFhfgkp9fqjAdU/Wda7zEWBYsx7foYN49++dsWi0IAg4nv0dQjyO9f5Pz9qI0VtXoLeuuOh794bdnDryrxyMCmxa+CUk5xQb1lTXoF+9Ft+BfbjfegProw9Ne4zJvXtwvfoy0rQ0cv7yu1MSCH8GLFlVSEfLOA0H+iirykAmm/uWlbqqmuhAP+HODmJZJbQ1jmBvHidyWok9M1dPic1KVp6BNKtmxi8bsVhEWVUGJRVWutocnDg8wKmTo7Q3jVFtK8IqkeB86y12m6fKotxyX+2MWylnKMs1smVZHjuPDvLy3m4+vfn8rc2UILCzeQQ5AqZokoFuNwWlc9/K2rY8H18wxttHB3hy5yRbgwMAWO5/4Gx5piH/CP5YgKKcAizbP43zuWfwHTqA5f7tiGVzl9SI9PUx/MSPSPp8mLZuI/3u+66KjMq1RGdZTjQ4iN95FHPezR/psSUSMbfcX8vEuJ+8IvOM8U7PnHyT7mEfY/YsorEkACqFlGWVVhaUplNTnIZvIsiuP55ipHOCkRmOq1BKMZhVbLi54jxF/ZlYvLKAgW43Jw4PkD2NEjxMPSzolq/E9erLBI43YFi99qLt3j/rxdp6gRcrmUhNeYcP9RONJNAZlKxYX0xJxQdJOGaLBoVSykifm8FDv55Ketm8lfTLLKMGMDbkQ6GUYjRPjUcQUghC8rL6ulpcN7Ku8/8rlKWlyLOyCRw/RtLvR6K7uMclUH+UUGsL6uoatEuXXZVjp6nMrM5Zzt6hQxwaPcqanPPL/Fju206otRnXjj8R3LgGNBe69f31R3E88zskOh25f/ldZKaPpqzIbNDoFMxbmsuJwwO0HBtm4Yq5x9YpKqoZPdhO464RJqIuAJQqKfOX5lIxP2vWXyjnIhaLKK/OYOWaYg7t7abhYB/NbT6qNYVkTnRjUo5ww2dvmpP37c41xTR1u3j32BCLyi1UFHxwHepOjTMwHmB5SRqpbg91+3rIL5n5C/hiCILAxmgHPUEXHZocTMEBRDI5mqoaAELxMD8+/p9EklHEIjEF+lzWm1Xo3GGGnv41+Y9+eU7H8h85xPgzv0OIxbA88CCmTZvnNN6PC5WxAolMT9DdiDFrI2LpR7ttrtbIyS+e2YjucYxzyPU+IhWorctZl1XL/NJ0ynIN5yU3aPOMPPL1leh1Kgb6XISCMYKBGOHz/o/SRxdNxib63+nkq3fePavtycxcA9l5BgZ63DjH/DPe7/plK3C9+jL+uiMXNbLCiQi7B/ahlqpYn3f+1vfo4CS732jHNxlBrpCyckMJ8xbnXCBTIRKJyMhQMdDvxz/hJ/vmW0m78+7LNrCCgSh+b4SCkimR12hwGFffK4jEMjIyvntZfV4NZmVk2Wy2G4G7AAcg2O32H37o/b8CMoExYDHwP+12e/vp9x4CFgJJoNtut//31Rv+da4zN0QiEYY163D+/nl8hw9i2rLtgjbJUAjHi89NlX558JGrmrW0tWATh0fqeav3XZZnLjlP40WiVmN9+LOMPPFjOp/4D7K/94Pzgj6DrS2M/vK/ESsU5HzrO8gzpy9b8nGxcHkep06McPzwAJXzs2Ydm+JxhWg5NkRHq5tYxlqIQk6BkaoF2RSVXagjdDmIJWJs8zIprbLS2TpO2zs+Mn3dLFAMk1s4N2NVLpPw+Vuq+KenG/jVm2388NFlqBRS4okUr+7rQSoRcffmchqVfXS0jtPd7rwg1X8mUvE4jqd/i+/QAQrzbyYS82GKeXFmllJy2ot1cKSOSDJKpbmcSCJKv3+Q1hwxK93wsqiV6J7/TUXeAspMJZQYClBOY3zExsdxPPNbQm2nEMnlZP3F166ZVtm1QCQSo7MsZXLkPQLuE+itV69G6dXimaP7EJ12hovzm9m6bBMm5cW9SSKRCKVKhildc9EkkuHAKLsb/kA8Fac78zg/3u3j21s+g0J26coQi24oYOTFJo4fHmDrndXTtpNZLChLSgm1t5GY9FygKXcmFuu24q2ozrmvhvrcvPVSC6mUwLwlOSxZVTjtGhAbG0XVdgTU1SRX30LanTdf0Vo7fiYeK1eHz1HH5MguEFIYszdddp9Xg0uuXDabTQ38F/CXdrv974Fam8324VFrgW/b7fZ/AV4G/vX0Z3OBx4DH7Hb794Av2Gy2jzY68TrX+RD6G1Yhkkrx7tuLIAgXvD/x6sskvV7Mt96O3Dr7L8bZYFDoWJ+3Gm/Mz57B/Re8r62dj37lKoLd3Xh2vnX29XB3FyP/8QQikYjsr38TZUHhVR3X1UKhlLFoZQGxaIITRwYu2T4YiLL3bTsv/vIoLcdHkMoklEpGuaHvJW6+qZDSSutVMbDORSIRU1Gbxe1/eSuyvALoOUXc5ZpzP8XZem5eUcCEN8If9nQBsOfEMBPeCBsW5pJuVLFkdSFisYij+3pJpVKX7FMQBAInjjPww/+J79ABAoUL8MitbJRPja8uZeWlPd0kU0neHzqIXCLn0epP89iSr/Gva37IsjV3A2AbiDKc9LBr4H2ebHyK7+7/e3b1v3/+sRIJXDv+RP/f/Q2htlOoa2op/Id/mtHA8gZj/OrNNn7yh0YiscSc5+xaoUlbhEgkxe+sRxAuPc8fJa29bkYS3QBsLdhIKBHid6deJHUZ44wkIvyy5WniqTj3lN2OPmFiSNXF/9r3BK6w55Kfzy00YcnU0WN34pkIzthWv2IlCAL+o0fPez2ciPDewF40UjXrcj/wYvV3u3jzD80IgsC2u2pYfWPZeQaWIAhEh4em7rn/9UP6/p/vo3f1AOCzll3xw+zYsBepNI5Fd4DJ4Z2IJSosJQ9ekGTykSMIwoz/ysvLN5WXl793zu/fLi8v/9EM7R8oLy9//vTPny8vL3/qnPeeKC8v/x8zHhOE6f75Hv+J4HD4BIfDJ/ge/8m07QQ4287h8Amx2gXTtgs9/Nmz7dy79s7Yp3vX3rNtQw9/dtp2sdoF5x3/+jn9eZ6T32AU+g82fGzntGtjpfCdN/5RePnEO8LI27tm7LNxy83CgU/dI/TsfP/P/jqNjHiEf/v7ncIvH/7xjH3u+5fnhX/6qx3CD7/9J6F5yc0fyzl1vvqGcOD2u4RQfsFVufe+/+i/C/d+/3Whu2/iql2n12/8qnD4698RDtxxt/DcrV+dse34qEc4dP+DwuGHPyf4jMbp7/3b7xSO/sU3hAO33yU03XzbjH26d+0Vxsa9wos724RdC7b+2d57njs3CA07HxP6Our/7Ne9e1/4C+GZ+tfmtO653nl/xj7/9v88IOxtb7jkOQXKq4UffvtPwgu/qrvkOXUuWCTUf+Pbszqnf3zsdeGfvrdDOFbXN+M5jRYUCgc+dY9w7Ht/I/T/28+u2nV6+slXhX1//BuhYedjH/m9N5NNM5vtQitwbol13+nXLsBms8mBzwBfm+tnZ4NOp0RnOb2PrJt5391iOWe/eYYnYZVShupMW9PM8R4mkwbOtJ1BlVkmFZ9//Bm4fk4f3zkBRI4eIv+GxTO2gWtzThaNmaHAKC/YX+FE3yT/OEOfqUiYsr96DOvGdfDSs9O2+7O4TllGNt5USf0TrTP22d40irLUzPpP2aj2ZUPDxdtdy3My37QJ10svkgoEpm03l3svFE1w76ZyigvSZv33FB6eKcQZMixKYoN96CsruMWaCTumb2vNNOKqrcFdV49cp4fJyYu2CzSeIIaIzG1bKKiphjdfn7bPQCzFvz9/go6BSb45wzg/7ntPa5jSdIpM1pNvXDptO/j41z2T0sCOnp2sKJ6PZZbr3uGAnZk2QmPJOP9x8inun3cbd04jQQJTmYaWDC0dpxxsvaNmxnGq8/IY7+9DE/WhvsQ5SaRiHvj8MvILDKSi4WnbGebNY/nTv0aq1cKxYzP2OdvrJCKOregQIpFAVvFm4PFp216Le28mRBfbLjmX01uDP7Db7ZtO//5tINdut3/7Q+3kwH8CT9rt9mOnX/s8cIPdbv/86d+fALrsdvsT0x3P6fTPPKCrhMWiw+n0X7rhdS7JJ3EuBUGg72/+moTHTfHj/45Eo8GzayfOF58/K4L3UTAZ9XJktIFDI/W4Im4AsjWZbClfQ9rLR0kcqQemguIvFj/250oqJfD7X9Uz6Qpx3+eXYkpT02N3cuT9HnyTEWRyCQuX51G7NO8C0U9BEOh57FsgCBT/20+uWkzcdPep8w8v4Nn5Nplf+BL6FXNXSwf40x47yld+jVQipmrVAjTFxSiLipGaTIhEIg7t7qLx6BCrNpVSu3SqJFPC68X1+mt4970PqRTK4hIs996PqqwcQRB45XfHcYz6uX1ejOCrz5F+7/2Yt97Ewd5mnut9mqQ7k68ufITakvTzxuLZ/S7O557B+vBnCTQcJdR2ivS77sFhkvHfvndJiOHuFinLb3v0vBI8HyYcTfDH/b28e2wQQYDlVRncv7EUo1aBPxTjH3/bwIQ3wl8/spTy7LlLdlwLHN3PEfF1kVZ4FxrTzAbEtcYXjPH9nx+BkkOgdJEBAAAgAElEQVSgdfNPq/4Go2JKoLTd3clPT/4Cqyqdv1r6zQtKxXz4Xu33DfKjY0+ilCr566XfvCCea6DHzUtv7mOw7AQxWZh56ZU8Urkdtezi2bIdLWO8t6Od6kXZrN0yvfCv78ghxn75c8y33UH6HXfyRtcbvDmwl9uKt7GtcCP2ljH2vNE+lZ17by0Wo4SR/3iCcGcHAFKTCc2ChWjnL0Rlq7ioHMSxQ/0c3dfL1jurKbbNvl7iGYRUgoGm/4CUF6dvPUvWXxiof62/oywW3bSL1Gw8WYeBApvNprDb7VFgFfCkzWYzAwm73e6z2Wwq4Engcbvd3mqz2e622+0vAzuBb9hsNpHdbheAlcBPr/iMrnOdK+RMAPzEy7/HV3cY7YJFTPzxVcQaDen33v+RjcOoMLCtcBNbCjbQ4enm4Egdjc5WfnPiD0hLJJQbclmoKyN/44aPbExXA7FYxIp1xbz1cgt73+4glUzhGPUjFouoWZTD4lUFqDUXlxgQiUSoq6rxHz5EbGgIRV7eNR2rYf1GPO/sZHLP7ss2slb62vCExwDw7RzBd/p1icGIsqiIwrwSWiU6jh3qw2Yz4d/zDp533kaIRpFlZJJ+1z1oF015VD2uID32CRyjfkoqLNCzC+BsLbkm35ThjaOIJ//Ywne3L6Qk5wN1cU1VNU4g3H6KzC/+BQP/+HdMvPISYuC2bBWvrdPz2kIJhVYFhRc5F0EQOGZ38ty7HUwGYmSYVDy01UZ14QfZrjq1nP9xdy3/9PQxfvzCcb7/4CLyMz5+Q8uUu42xtv/CM/Q2Sl3xR66bdS6v7OsmnAqi0ropNhSeNbAAKsxlbMpfy3sD+3ip8088VHnvtP2E4iGeanmGpJDis1UPXDRgPr/YzMali9m/X8V4VQvNE238S8MTfGneI+RoL1TpL62ycnR/H+2No5QtMZOQxYgkwsRScWLJOLFkjFgqRsQSZny+juTEYWTNkzRMtKEUiagMd9OwJ0l9nQy5QsJt2+djFIcZ+D8/Ij4+jnbxEsw33YqioOCSD0lZeVPzMjI4OWcjKx5L0nZ0B0aNl74eK6XLauf0+Y+CSxpZdrs9ZLPZvgI8YbPZnECT3W5/z2az/V/ADfwz8CxQAxTZbDYADfCy3W4fstlsjwM/ttlsSeCXdru981qdzHWuMxf0N6xi4o8v4923l3B7G0I0gnX755DqPnq1YLFITIW5jApzGf5YgFZ/K+907uNUmpNTtPLi/r+nxFhEVZqNKrONLE3GR1qr7XIoKE0jM1fP2JAXgJIKC8vXFWEwXfqLT3PayAqearnmRpbcYkVTM49gcxORgf5ZKe6fS8LnY/Kdt5Ho9OT/7d8THx8j0ttDuLeHaF8vwZMn4OQJ8swL6DUvYO///gWFEyeR6PWobr+fSH41rY4gjhcacY75iUWndH3EEhGLl2Xh3tmKPDsHeUYGY8FxWlztFBsK2LR5DT97pZkf/76R7z6wkILTKfmyjEykJjOhtjYkWi1Zf/E1hn70OKqSElY/+AhpYie/aH6aJxt/xbcXfYVMzQcFzR2eEM/s6qClx41UIuaO1UXcvCIfmfRCzbNcq5Yv3lbFz15p5qcvN/G3n1l6tgTQx4VMYcaQvYHJ4V14ht4mvfCuj2UcfWM+9jeOklbsIQQssl745X978TY6PN0cHq2nKs120TaCIPC7tt/jini4qXATlWnTe53mL8vF5QggaZJjXTiMnSb+teFnbM5fh4CAPxbAHw8SiAXwxwOI0gxYvDZ+8fprjOfZpz+Z6tPeMGcbADfq0+jvENPaJkMmi7Ns0TFi43WM9LhJZYQxrNyI5aYHEEtml1lszdIhkYgYHfTOqv0ZRgYmOfTuCRbXthBtDJJ5oA59yVLIv3T4x0fJrCQc7Hb7LmDXh1773jk/T3sn2+32Z4BnLneA17nOtUJqMKBdsJDAsQZiQ4OoysrRr1rzcQ8LnVzLbRU3sty8jF7fAC0TbZxytWP3dGH3dPEqb2BSGKcMrjQbNlPpeWnUfy6IRCLW32SjqX6IitosMrJnb7yqK6fSy0OnWjFvvelaDfEshg0bCTY3MbnnPTI/8+icPuve8SeEaIS0u+9BZjYjM5vPE7qNezxE+3rQdfUx1J2g31BNJK+KSUFL8EQMTrSdbWs0qygs1WPN0pFbZEba34YQj6NdsBCA3aczUjfmrWWBNZ3P31rJL3ec4vEXTvDY9ilDSyQSoa6swnfoANGhQVQlpZT+5GdnFfTnk8GnK+7m2faX+OnJX/LY4q9hUhrZ1zjCs7s6iCdSVBeaeGiLjQzzzAbxonILD26r4Nm323ny1WYee2DhBUWtP2p0luWEPK2EPC2ETTWoDLOrg3m1EASB53Z1IgDGXBehCCy0zrugnVQs5XNVD/DP9T/hufaXKdTnYVaeL5Xw3uA+midOUW4q5eaimXXLRCIR67aV43GFcJ4QsXVtHnvj7/Fm37vnt0OEVq5BlytDGE5gcRRRvtiCVq1ALpEjF8uRS2Snf5aR7B8gNPo+ikwlluwNeIaKOdzWg0otYeMWKbKQhlhoFHGREnGRkih9DLf8G9r0xeitK5HIZhZLlkolWLP1jA56iUYSKJSXUMyPJanb20PzsWEWLzgFo0GEQw5AwFdXh3bhJ9DIus51/r+KYc06AscaQCK5rFpZ1xKRSESxoYBiQwG3l2zDG/XT5rZzymWnzd3BwZE6Do7UIRaJKTeW8OmKu0lTzVyX7KPGlKZh3TbbnD8nNRqR5+QS7rCTiscuS718LmhqapGlW/DXHcFy7/1I1LMTPY05HUzu3YPMYsGwdv1F28hMJmSmxWgXLmbp0UEO7e5m2A9qLRSWpWHN0pORrcOSqUPxoeDesdeOT41vwSL8sQB1Y8dJV5qZb5kyQldWZyIIAk/taOPxF07w3QcWkp+hQ11dje/QAUKnWlHmF5w1sM5wQ/YyAvEgr3W/xU9P/oKyyE3sOuJAo5Ty+VsqWVphnbWn9P4by7H3uWlod/Dsrg4e2Wq76l5WfyhGa5+bpRXWS9bxE4nEmPNvZ8z+c9yDb5ClLUAsubSG1NXiyKlxuoa9zK/Q0hkZumCr8FwyNFbuKb+d59pf5jetL/CtRV9GfLpAd9dkL691v4VBruNz1Q+cfR2mDLlEdAKpIv28uZbKJGy7u4aXf3OMkf0xPn/3o0T0PrQyDTq5Fp1Mi1qmOtvXSckgh/d0UzpZy5KawouO0Zf0MSnREB1I4gjn03CoB41Wzm3b5yM07GXipSOIFEoy/uIzSHI0RINDhCfb8TsOE3DWo0lbiD5jJVL59Crz2XlGRge9jA17zxbNvhgjA5PseXNK6LSwKIBVMUZ8hxNEYsRaFaHWZoRE4oL7/ePkeu3C61wxn+S5lKVbiE84Ma5ei3b+go97OGe52JwqpQpyddkstNayKW8tVWkVGBV6osko3d4++v1DrMha/Ge/jThb4k4H4c4OVLYK5JYr1yub6T4ViUQIiQSh5iakegOqktJZ9el47mlig4NYH3oEZd6lFe4zsvXkFJpYtraIZWuKKKvKIDvPiN6oQvqhLTkhmWT86d8gVqux3Hs/7w7uw+7p4paiLRQZPtjSzLPqSDcoOdrmoL7dQU2RGXNmOp533gZAv/LiOkHFhkLCiSgtrjb6/H2kJYv4qweWYMs3zeke0mgUlGbqaO520dTtQq+RU5R19bbcBUHgp68083bdIIHQ/8vefYfHWZ2J3/8+z/SuNuq9eNx7N+6ATTXV1EBoCbAhBLJJNstvk2zeZDebTSEhoQSWJPTmgEN3xxj33uSxLcnqXTPSaHp53j9kjIUtq9qS4HyuS5et0VNuHY0095xynzDjT1b0PheVxgSKgr/tKLFo4IL1ZgVCEZ5YsZ9oTGHW3DDH2o6xOHseebaunxtZ5gxqvHUUtxxFLasojMsnqgrxP5v/TDAa5P7xd5Fu7lx42FX5AS0V/yQacmOwFiKdloBpdWpSM604D9ZTW9LOnMljyYhPxqI1o1VpO7VdYrKJQ3tqqK9pY+zkdFQqmWgkRkujl6pyF0f2nWD/zgqOOHM5WldETWUrZquOq28aT+jDFbg+fB91fDxZ3/8hpqKxaA0pGGxFWOzTUGkthPz1BD2leBp3EAm50OjtZ50nF4spHD1Uj9mqIzP3zDeK4VCULetK2LjqGKFghIkz0ilK30bw7TKU9ggpd3wTldlC4NhRjKNGo0nqvBhkMPcuFEmW0G/DuS0lScIyeQr6vPzBDqWT7tpUlmTi9XGMiC9kTvoMan0NFLc40am0FMTlXrhAzydFwbN1C2qrDdOY/q8U665NtSmpuNeuJtRQT9zCxd2+kAcqyml85SV02Tkk33xbjxITSZKw2PRoz7HE/nP+Y0dp3bAO64xZaMeN5W+HXkElq7lj9E2o5c7nZ6dYSLDq2FHcwE5nI+NHpSMf2U+wsoL4JUs77RzwOY8/zAerfbiCLlTxTWTnRZmfNw2V1LveXJNJRzAYZmx+AlsP17Pb2URRVhz2uO73geyJQ2Ut/POzEwCcqPOg1agoyuy6V+RzOlMW/lYngbbj6Mw5qHXdn3O69qbdNJa+gawyoDX2bHeFlZvKOFDawhUzcyhlGy0BF7eNuqHLavvQ8ZwYmVDEjvo9HGwuZmRCIa8Vv015azXL8i9jetrkznE176W1bgMgEfbXE2w/gcHmQD5tg2azVY/JrKPkSCMnjjURDscwGLWdNk0GTiVVFaUtVJe72bejki3rSji0p4ayo03U1/rw+gxo1CqsnhoybFEW3zQNz8vP0b5jG9rMLDL/9Ueddp9obmznWHEjWmM6Kblz0OgSCAeaCLaX0d60g3CgEbUuodMwotGkYc/WCmIKjJrwxUT9WEyh6oSLD946QGWZi7gEA5fdMI60pGO0vfYJSn2QuEuWkHj5lUiShGfbFlQW8xl/L0SSdRqRZA0/oi0HXm/aVJIkRsQVsK1uF4ebjzDePgardvBXevWX2haHa9VHxAIB4hb0f3Vlt4mrTke4oR7/kWIMhUXdVvuve/45wo0NpN7zLbTJKec8ti9ca1cTKC0h6drr2R2tYFfDPhZlzWVs0sizHp+TYiHeomN7cQM7jzQwI1VF7EQJxpGj0Ng7r9qqbfbym1f3UtXoZWr6WOypYZzuo9T7GploH9vrniyfL4RRr6Eg3cbmg3XsPd7ElJHJmLqpU9edWEzhz28fwOML870bJ+CsdLP7aCMp8QYyk88910eSZLTGNLzNewl6KzElTkKSVCiKwqGyFo5WttLg8tPcFqC1PYQ3ECYQihKORHDXrsdTtw5iQfytTmS1CZ0p/Zz3a3D5ePbdw8RZdNx6WTZvl7xHgS2XhVndz/PUqjRkWTLYVruLHfV7qPE0MDZxJMsd13T6WYR8tTSWvYGk0pHquJdYxEfAU4LPfRiDJb+jB+8ke6oFJaZQUdpC1QkXB3dXU3KkAb83hN6owWDUIEkSickmDu+tpdXlJxqJkZRiJqcggezsNnLS9zNlpomLrrgU46oXiKstJnR4P4HjRzGOGUvG976P2trRaxkKRtj6SSnr3z9CZamLI/vrOLSnBk+7GUPcZBJSs4hF3B3JVvMugr4a1PpE1BoLKpVMeUkzTXXtZBckUHqkkd1byvl01VGK99Wd7L3K4pJlozEaAtS98heiTg/G0aNJvfs+JFlGHR+Pa/XHRD0e4hZ13pRGJFmnEUnW8CPacuD1tk21Ki0pRjvb6/dQ1lrBrLSpneZwDEeSWo3feYRAyXFs8xci6/s3ub8nbaqOi6f100+IBfxYp8/s8jjv4UO0/PMdjKPHkHT1Nf2K62wURaHx5RcgFsN+6+383fkmgUiAu8bccs5ekZxUC3FmLTuONNDs9uFwl6CKi8M0+ot96pwVLn77+l7c7SGunJ3L7Zc4mJg8luPuMg63ONGqNBTE5fU41tPbNdGmx2bquH9xuYtZY1LR9GNbpM8O1PHJvhrmjEvlshk5jMnr6C3beaSBEZlxJHXTW6bWWolFgwTajqEoMTSmXF74yMnr646z51gTO440sPVQPZsO1LJhbw1rd1WxakcV6w7KfFKSzdbKHKpbrbS7jxJnDGO2dr3S9fkPiqlp8nHn0pHUxo5yqPlIt0OFp0s0JBCORTjmLiXJmMADE+5Gd9pcsmjET8PxF1Gifux5N6A3Z2OIGwVAoNWJt+UAWmMqGt0Xw20ZOfGMm5JBQpKp4zlV66G63M2hPTUcL27A1x7CaNYxaWY246ZkMnNBPqMnpJOa6kXyvYvVZiR1xHJkWU20rQ1f8WGiba3Y5i0g7d5vIet0KIrCscMNfPjWQapOuLDG6Zk+Lw+TWYenNUBdVRtlR5s4uNePqy0Xoy0boyFI2F+Ot3kPoRBUlmuprmjF7wtTvLeWitIW3C1+TBYd+Q47cy8dwcjxacgqmZr3niS4sRy1PZ7M7/8bsq6jjSSVikDJcQIlx7HOmoPK9EXCKZKs04gka/gRbTnw+tKmKUY7roCbwy0dy7Ed8T2bVzSURVpb8RUfQpeTgy6zf6UcepRkxcfTvn8ffucRrHPmojKeOX9EicWofeYpoq1u0u7/F9RxvRuG6olQdRUtH7yHaeJkKgvi2FD1GdNTJzMjrfuVU7mpVmwmLZ+UtDPDfZiwP0DCyZ7ALYfqePKdg0SiCt+8bCRLp2cjSRIqWcU4+2i21+3mUC97Q7/crrmpVtp9YfaVNFPv8vVqEn2nNghH+dPbB4jGFL5z3TgMOjVWk5b8NAtbDtWz62gjEwsTuy0boTNl4XMdoqmxnOc2qNl73EV2iplr5+UzOjeeEVlx5KdbybLrSNDVkGDwkGhWkRCXgIJMeZOaIw1JrD8QwnminKiiI9GmR6v5Ygj2YFkzb28sY0RWHMsXFvJ2yfu4Aq3dDhV+WVFcPiaNidsnL8OgfJEkKIpC04k3CftqsKbOw5LU8TyQJAm9JRe1LgFfazG+lgPIaiM6U8apc9VqFYnJZopGpzBuaiaJyR3Xbaxrp7rCzeG9tZQdbSIUiqLRqjAYoLH0ZZRoCHv+zWj0HUmbxm7H7zxC/KVLSbruBiSVipYmL6tXHmb/jipiisLUOTlcfPUoUjNs5BYlMX5aJvkOO2arjlhMob6mjYoTMY4ejcfrTyQhvgUlVEJzXTnl5VYURSY+ycjM+fnMubiQaRflkVuUhNnSkUi5967D/cpqJJ2arB/+B5r4zvO3Yn4/3v370KSkYDhtCohIsk4jkqzhR7TlwOtrmxbFF7Czfi+Hmo8wOnFEl6uahgtJp6X1kw3Ien2/l2b3tE0llQrvnt3IWm2nUgyfa9+5A/fa1VimzyB+8bmX1fdF2OWieeXbhKqrSLjiKv7Rvp3mgIs7Rt2EVdezxCc3zYrZpKf1wEEsLTUEJ8xiw8FGXllzDJ1WzcM3jGeKo/NwqFalJc2Uwva63ZS4TzArvWfzs87WrqNz43FWujlY2oKtjxPhP9pewe6jTSydnt0pVnucAbvNwLbievaVNDFtZAqGc8xxk2QVde02nlmrpdYF0xx2vnvDBArSbeSn2xiRFUeB3U9y5J+MSKhixthcFs9bytwJmVw8NYtpI5Ox6GO4W5s40ahm7/EmPt5eibPSTSgcxWbS8pd3D+MNhHnounFImiBvHXuXfFtOj4YKTydLMnm2bFITEju1aVvdRrzNe9BbCkjIvvKMpFVrSEFvycPfehS/+zDRiA+9teCM41RqmUS7mcJRyYyfmklSSkfJj6aGdmoq3BzZXwf+9ZgMTSjaKdhSJyGfXM2pMpqIW7AIQ2ERkXCU7RvLWP9+x0q/nMJELr9hHHkj7KeOh5OFhU1a0rLiGDk+jXFTM7CnWlBr1NTXQXV1MklJARLim8jN81JSmkxCkomLLik6Y6VtsLGOmj/8AcIxUr59D6aiM383VRYr7jWrQFE6FRYWSdZpRJI1/Ii2HHh9bVONrCbTnM7W2p2UuMuYlTYdlXzmpOfhQmWx0rphHeHmJuIvWdKvlZM9bVNtahruDesIVlYQt/iSTpPGlUiEmiefIBYMkP7gQ52GJPpDicXwHthH45uv0/DS3wlVV6FOSCB0xQL+WbGakfFFXJKzoFfXzEuz0lxVh766jBXHI3xaq5Bk0/ODWyaRn3725DvZmERbsI1DLU6isSgjE7redudzZ2tXWZYYnRt/cn5WMxOLkrD1olBpmy/EU+8cRK9V88A1Y88YcsxKNqOSJXYfbeJIuYsZo1O6HJbceaSBP/+zDF9IxaLCE1w/24DZ9sVwqM91mKbS11FiQeIzlmBLW9BptZ7FqGVkjp35E1IoNG7EomkjLFkpqQ2yv6SZVTsqafeHWTApg3kT0tlat7PXQ4Vfdnqb+luP0VL5HiqtjeTC25BVZ29HtdaGMX40AU8ZgbZjhLzVGGwjkOSzJ6AqlUxCkomCkXbGT8skNd2GzVxDalIx7lYz69dnsW9HNU317cRiCmarDpVKptTZ2DERvdSF2apn8ZUjmTY374yk6KwxqlUkJJnIG5HEhOlZTJiehz1rCigxIj4ndQ1JuFtiTJyZjSx/8bseCwap/PXPibm8mC+fin3RDWf/noxGPLt2Eiw/0fH34mQpB5FknUYkWcOPaMuB1582TTQk4I/4Odh8hFA0xOjE3tepGiokSSJYUUGg5DiWqdNPTbLti970ZEXbPfgOH0abltZpmLL1k/V4tm4hbuGiPm/Bc7pwSwvu1R9T9/yztG5YT7iuDl1uHolXX0PK7XfyTtVaarx1LHdcQ7IxqfsLfklCnIm2TRvxSVpihaP5wS2Tul31VxRXwO6G/RxqPsKI+MIzCmR+WVftatCpSUsyseVQHc4KFxeNS+txodK3NpRwrKqV6xcUMDL77PcvyrTR6g2xv6SZinoP00Yld35hVhRWbirjpdVHUatk7r9qBOMSdhHwlGK0jUJWG2mr34Sr6gMkWY09bzmmxPFdJvKySk9S8kjsqj1MSHYyZ6ydjMxRhMJRDDoN91wxCp1GxdvH+zZUeLrP2zQSdNFY8jIKCimFt3Wab9VVjKaEcYT8DQQ8x/G3HsVgLURWn/tnLssyZksUydex+7g55UZ0RiteT5C66o45Vfu2V3HscD2H9tQSjcaYPCuHS5aNJsF+7gUIXZEk6dSH3pKH1phGQ1UFLpcZm/EwCal5HQsVYjFqnnmC4PETqMcmkPGNHyB3kTgChFua8R91os8vQJvasVJRJFmnEUnW8CPacuD1t00L4/LZ23iQg83FFNrySBpiRUp7Ixbw4927B21ySo/rV51Nb9pUk5yMe90aIq2t2ObOOxlHgJon/wSSRPqDD52acNtbSiyGd/8+Gt98jYaXX8DvPNIxvDFnLil3fJOkq69Bn5OLO9LOK84VpJiSub7wqj714qltNtxrV5Oui3LVo3dg7EHpCLWsJseayZbanRx1lTArbeoZJSNOd652TU0w4gtE2FfSTKs3xKSi7vemq3f5eP79Yuw2A/dcMapT4nQ6SZIYl59AeZ2HA6UtuNqDTCzsKM4ZDEX5y7uH2LCnpqP37uZJjMxN6pi75DpAyFdLsL2c9sZtJ3uIvoHe3H2vk6zSYowfQ8BTCoFjZCdGuWTuAhZNzkSnUdEabOvzUOHpTCYd7e1eGkpeJhpyk5B9ZY9rfUmyGmP8GJRoEH/bUTyNO/C6DhFsryAcbEGJBpFkDZL8Rc0sRVFoLnuTcKCR+MwlJGWMISsvgXFTMsgfacdk1hIMRmhp9JGVn8AVN46jYGQy8gBW99foE1EwU3bMjVZVjUHeid6aj+uDj2nbuBEpXU/qvfeht2Sc8zqyRkPbZ58iGwynah8OZpI1dMqiCoIwYLQqDXeOvonf7PozLxa/wWMzHsHQzbvZoco4uqPmjffwIeIvXXJB7nm2/Qw7loe3kXDVsj73qAUqyqn50x+JtDQDoMvNI27eAizTZ5yxevKTqs3ElBiLs+b2eZhUUqkwjByFd89uYi1N0MOirvm2XC7JWcCq8vWsOPYet406+/BMT9ywoICjlW427a9ldG48M0efu+bUig0lRGMK1y8o6LbnSyXL3L9sDP/zyh427a8lyapn9rhUnlhxgMqGdhxZcTx47Vgsxo4hNmOcA2PcaHzuw4R81WiNGdjzb+p265dO91QbSSm8g4aSl/G5DqAoEZJyrkOSVexpPICCwuTkCT2+3tkoioKr8kPC/jpMiZMwJ07q1fmSJBOfuQSNIbVjBZ+/Hl+wCdyHTh0jqwxoDCloDSkoSpSApxS9tRBz0tTTriORaDeTaDczZU4u0WgM1XncNikzLw04QZs3i3BgMzXb/kzw3RIkqxrz9dMwJZ25PdGX6fMLkI0mvPv3oyjKoBdnHt5rvAVB6FKONYslOQtxBd28dezdwQ6nzzTx8WjT0/EfPUIsHL5g97UtXASAe/1aIm1ttHz0ISqLhYQlS/t0vVgoRO1fniLS0oxt/gKyf/Kf5Py/n2KbN/+MBCsQCbCpZisWjZlpKb17gf0y08nJ+75DB3t13hV5l5BhTmNz7XYONB3u8/016o5ESKdV8cJHThpcvi6PLaluZaezkfx0K1Md3fd6Aei1ar53w3iSbHre2VTGT5/fQWVDOwsmZfD9myeeSrA+F595GRp9MqaECSQX3dGrBOtzslpPcuHt6Mw5+N3FNJa9gaJE2dOwHwmJicn9K57bVL0db8tetIY0EjL7vnenOXECKSO+Seb4H5I++rsk5d2ELXU+BttIZJWeYPsJPI3baG/aiawykJh97h7T85lgARjNOmwJBpqadMRnLSNa7AJAPT2BJMeynhX8VakwjR1HxNVCqKrqvMbbE6InSxC+wpbmLuZgUzFba3cy0T6WcUlnrsgZDoyjx+Bes5pAyXGMI0ddkHuevp8hkowSDJBw/Q3I+r71CDateJNwXR3GRQsIX3UplRE//sZD+COBkx/+U/82+M82oksAACAASURBVJvwRwJcmXcpGlX/Cnqaxk0A1as0r3wH04RJaOLPPcfqc2pZzZ2jb+bXO/7Iy0fe4rHpj2LR9m3+TUqCkTuWOHj23cM8vfIQ//6NKWf0UimKwhvrjwOwfGFhr3ogbGYdjyyfwH+9uItAKMo3Lh3BwsmZZz1WpTGRNur+Pn0fp5NVOuwFt9JU+jqBtmNUlr9PifvEOfcq7Imgt5qGY28jqwwk5d/Y5cT13pAkCbUurqPqfdwXczRj0SDhQANhfwNaYwYqzeAXMU7PiqN4Xy3+UC6UKKBVkXDR1Wj0PZ+TaJowAc/2rXgP7EOX1b/SL/0l5mQJ/SbacuANVJvKkky+LZctNdspdh1jZupUtF2sThrKlJiCZ9tWVLbOhTV7o7dtevp+hsGKcjR2O6l33dunTcS9hw/R+MqLROzx/HFMCxvrtrK1bhe7Gvaxr+kQh1ucHHWXUNZWTmV7DS0BNxatmW+MWt7vn5fKZEI2GGnfvZNAaQnWWbN7/D1YtRbUspr9TYdo8jczOfnMieE9bdesZDNNrX4OlLYQikQZm9d5I+A9x5r4aFsFk4qSuHxmThdX6ZrFqGX6qGTmTUhnfEHvFwn0hSSpMNgc+FuPsqPpCKWRKBdnzye3j6sKo2EPDcdfJhYNkJR/IzrjuavM95ckq1FrbWiN6X3q0TsfgsEIZUebMEfb0ezZiHXGHJLm967grzouHtfHHxILh7FdNE/MyRIE4fxJN6dyVcFS3j7+Pq86V3DP2NuHXTV4o2MkqFT4Dh+C62+8YPe1zZlL04o3URSFuCWXnVoS3htRn5f6v/4fyDJvT1Wh1RuYkzoZg1p/2ocBg1qP8eS/BrUBo9owYOU34hZfTKCsBM+2rTS8/iopt32jx+cuzp7HgaZi9jYeZHvd7h4VRO3KbZeMoKS6jY+3VzIqJ56x2Tbcqz/GOGMWb24oQZYkblhQ0OfrJ9ku/LxDWaUjKW85R7b/FoAxlr5tZt5R0f1louFW0guXorYM/2LCfZGe1VHct+pYHaMB6+yzb3B+LiqzGX1BIYGS40Tb28E+eD10w+svrSAIfbIoay4Ftjz2Nh7kz3v/D0+ofbBD6hVZp8NQWESwopyox3PG15VYjFBdHW3bt9L45utU//mPBCrK+31ff30t+wr0SEDz2lVEvd5eX6PhlZeIuFo4MCmJmniZ20ctZ/mIZVyVv4SLs+czJ30Gk5PHMyphBDnWLJKNdixa84DWN5MkiZQ77kKbkUnr+rW0bfmsx+fKkswdo29Cp9LyxtGVtARcfY5Dr1Vz/7IxqFUyz71XTN3a9TT94y2cTz9HfYuPeRPTSUscmNpjF5JP0lAdiZCplglVfUA00vW8s7OJRYM0lrxMONCA2T6d1LxF5ynSoc9i02O2aGnyaVAlJWEY0bcSNObxE0BR8B7cP8AR9o5IsgTha0CWZO4ffyfjkkZxxHWM/97+e465Sgc7rF4xjh7T8Ufz8EGCNdW0bdlMw2uvUPnr/6bkuw9y4v/9G3V/eRrXxx/i3bObuuefQ4lG+3w/JRZj3YYX2TDNzN4RBmK1dVQ8/htigUCPr+HZuQPP1i20p8axvkhhfuYcJtj7NtzZX7JOR/qD30E2GKh/8e8EKyt6fG6SIYEbiq4mEA3wYvGbxJRYn+PITrFw06JC2v1hyletA8BQVkxOpIVlF/V8z8ShpGNVIUxMGkU03EpT2VsoPWwjJRahsfR1Qr4aTAkTiM/oX9Hdr4IkQ5iwSoc0eW6fhufh5FxEwLtfJFmCIFwARo2Rb4/7JtcWXoEn7OUPe55h1Yn1/XrBvJBMYzpWbNU9+wzlP3mMuv/7C+41q/AfO4o6PgHLzFnYl99C5g/+DeusOYSqKnGvW9Pn+zVv28SmVB8aRSZ85SIO5+kJl5VR9afHiYW7n98Rcbupf+nvKBo1K6bKZFgzuLbg8j7HMxC0Kamk3vMtlFCImief6FXP3Ky0aYxLGsVR13E+qdrcrzgWTc5gTrqKxLY62k9Opr86eKhXVeGHkt31HasKZ+Zfg8HmINh+And19889RYnSVPYWwfYTGGwjSehmdd/XhbW54w2gJ7XvhZS1mZmoExLwHz86UGH1iUiyBOFrRJIkLs6ez/cm3Y9NZ2Vl6Yc8vf9vtId7Pwx2oemyczCOHoM2IxPr7Iuw33IbWT96jMInniL3//sv0u79NvGXLsHoGIl9+c3IJhNN77xN2NX74a1YMMiavSvxGlUsSJ3BLaOup/HKmRzP1BI4coTap59EiUS6PF9RFOr//jyx9nY+m2jBF2/k7jG39nul4EAwT5xEwhVXEW5spO65Z1BiPUuyJUni1pE3YNaYWFnyAa3BM4dte0qSJC4zNgKwPn4iFZZMTLVl+Ir7XipisLiDrZS2dqwqjNfbSMy5BrUuCU/jVrwtB7o8T1EUmstX4m87it6ST1LudZ228/m6Cjc3YyzbC0CDu+9vACVJIvXu+0i6YflAhdYn4icqCF9DBXG5/Nu0hxmVMIJDzUf41fY/UNra/zlM55Mky2Q++gNy//MXpN59L/GLL8FQVHRGjSkAlcWC/frlKMEAja+/2ut7VX/0T7bnSRhiKpaMvAxZkrlz7K0cXjqGilQN3n17qfvr/3WZoLR++gneA/tpyLCwq1DNTSOuIcXUtwnR50PismsxjhmL98B+Wt77Z4/Ps2otXJF3KeFYhPWVn/b5/kosRmDnVtBoaU4rImHZdQA0vf0WiqL0+bqDYU/DyQKkKeOBk6Ud8pcjyVpaKt4l5Ks74xxFUXBVfYDPdRCtKZOkvOUDUqrhq6Bty2cYQ63oNVBb6e7X88E4chTW6TMHMLreE0mWIHxNWbRmHpxwN1flL8EdbOX3u59iXcXGYfci1xXrRXPR5xfQvnM73l4U4gy3NLOm+lOCWpkleYtPVcrXqrTcN+luNl2cQ02SGs+2LTS8/OIZ7RVqaKDx9VeJ6jS8O03LtNQpzEjt+4q880GSZdLuux91YiLN766kff++Hp87K20qNq2FjdWb8YZ7N8H7c/7jx4g0NWGdOo1f/ss8Ji+YjHnKVAKlpXj37e3TNQdDhaeKd0s/Qi2rmWT/ohq5Rp9EYu61KEqExrI3zpgI31q7jvamXWgMKSTn39rlps9fN4qi0LblM2StlrScBLyeEJ7Wns+BPJ23Pcjad4tZ//6RAY6yd0SSJQhfY7IkszR3Md+ddB8mjZEVx9/j2QMv4Av7Bzu0fpNkmeTb7wBJouHlF4mFelYnp/SdV9lTqMOGnvm58zt9zaaz8K2p9/Lx4lSa4tW0frKephVvnvq6EotR9/yzKMEgqycbMCQmc7PjmiE5z0ZlNpP+4ENIKhV1zz1DqLGhR+dpVBoWZ88nGA2xoXJTn+79+epG6+w5p9omcdm1IEk0vb2ix0OYg6nR18yTe58nFA1z5+ibsek6b7VktDmwps4jGnLTfGLFqYnwrXWbaKv/DLUukeSC25H7uIn0V1GgtIRwfT3mSZPJyO3Yb7Wmwt2rayiKwuG9Nbz27HaOHqonGOx6WP9CEEmWIAiMiC/kx9MeYURcAfuaDvHU/ue/Ej1a+uwc4hZfTLihnuq3V3Z7vL/kOOvCTqJqiSscV6A9yxyqdHMqd0y+g3cWxeO2anB99AEtH7wHgOvjDwkcP0ZZjonjeUbuHnMb+iH8IqrPySX59juJ+XzUPvkEsWCwR+ddlDETk8bIhqrP8Id719MQC4Vo37kDdXwCBsfIU4/r0jOwzppNqLoKz45tvbrmhdYW8vCnfc/hCbdz44hlTE4ef9bjbKnz0VuLCHjKcNesw9O4k9badag0VpILb0elGX7lKs6nts86knbr7ItIO1kvq7aytcfnu5q9rHx5L5981DHZfd6SIpZcOzireT8nkixBEICOXpqHJt3H2MSRlLaWc9RVMtghDYjEZdehssVR+eYKQg1d99YosRjOd17iUIGeZLWNmWlTuzx2VOIIrh5/PSsWWvGaNTT94y0aXn+Vpnf+QdCoYdVUA9cUXUG29exbuwwltovmYpu3gGBlJQ0vvdCj5Fqn0rIwcy6+iJ9Vxzf26n7efXuJ+f1YZs46Y3l+4lXXgEpF8ztvn3NhwWAKRAI8ue95mvzNLM1dzPzM2V0eK0kSSbnXotYl4mnYjKvqA2S1ieTCb6DW9n3rna+iWCiEZ8c21PHxGEeNJsFuQqtTU1PZfU9We1uAnZtO8MbzO6mtaiVvRBI33TudMZMyBr0XWSRZgiCcIksyl+VdDMDqig2DG8wAURkMJN90C0o4TMMrZ86h+pxn21Y2JLSgyBLLRl7dbTHQizJmMmPUQt5aYCFo0OBe/TFEo3w0zUhh+hgWZl50Pr6d88J+y23o8/Jp2/IZVb/9NcGqym7PmZ85G71Kz3tH1xKK9nzj7lNDhbPOTE40dju2eQsINzbQ+lnfhiLPp0gswrMHXqTSU83stOlcmXdpt+fIKj32vI6J8JJKR3LBbWj0id2e93Xj3bvnZPLdse2TLEukZdpocwdo93TuYfW0BnAeqGP9+0d4+emtvPjkVnZsOoHBoGHJtWNYet1YzBbdIH0nnYnlDIIgdJJrzaYoLp/ilqNUemrIspzf/dMuBPO06di2fUbrvv20796FZUrnXqpYMMjBNW9xbI6ebGMaE+xje3Tdawoup8nfwlvRvVy3ycvhTDWuPDsPjFo+6O+ge0PWaEj/l+9S//fn8R7YT/l//gTbgkUkLbsWlfnse9oZNQbmZc5iVfl6NtduZ0Fm99ufRFpb8R48gC43D116xlmPSbziKto++5SW91ZinTUbWdvzSeFRnxclGkVtsXZ/cC/FlBgvFr/BEdcxxiWN5mbHtT3+GWsMdtJG3g+SjFo78LF9FbRu7ki+badto5OebaO8pJmS4gZ0ejU1FW5qKls7TYbX6tTkFiaSnh3HyPFp6PRDK60RPVmCIJzhkpyFAKz5ivRmSZJEwbfvQ1KraXztlTOqtrd89AEb8zsmJl/r6HlBSFmS+ebomzFm5/KXK618NsnMN8fcglk7/ObaqOPiyHj4UdK/+wia5BRa16+l7LEf4V63psvK+Yuy5qJVaVhT/gmRWPfDe57tWyEWO2sv1ulxxC26mIjLReuGdT2Ov33fXsp+/ENOPPZjQrU1PT6vJxRF4R/H32Nn/V7ybTncPebWXm97pNbFiQSrCxG3C9+hA+jz8tGmffGm7vN5WZvXlbD+AyfOg/WEghHyipKYvbiAG++awl0Pz+GyG8YxYXrWkEuwQCRZgiCcxeiEEWSY09hVv48mf8tghzMgDBnpxC+9jIirheZ3v5gEH25uZt/uVVSmaRkZV8CI+N5tzKtVabl//F2MiC/khqKrGRHf9w2OhwLz+Ank/ucvsC+/GWIxGl55ifKf//SshUItWjMXF8zFFXSzvW53t9du27IZVCos02ec87iEpZcjGww0f/AeUf+5V7oqkQiNb7xGzROPEwsEiPm8VP/x90Q8bd3G01NrKj5hfeUmUk0p3D/+LrSi5MKAatu6BRTljM2g7almCkclkzciiTkXF7L87qnc9fAcll4/lgnTskhKsSDLQ7vHWCRZgiCc4fPK8AoK6yp7N7F5KEu4/Co0SXZca1YRrK4CoHHFG2wa27ECcFnRFX26rk1n4eHJ32ZBVvdDZsOBpFYTf+lScn/xK6xz5xGqqabqt7+m5s9PEG5s7HTs1Y5LUEsqVpWvJxrreq/IYFUlwYpyTGPHdTucpzKbiV9yGbH2dtxrVnV5XLipkcpf/xeuVR+hSUkh+7GfkHDl1YQbG6n50x97tP1Rd7bV7uKdkg+I09n4zoR7MGmM/b6m8AVFUWjb/BmSWo1lWufkW5ZlLlk2mqXXjWX81EwSk83DahgeRJIlCEIXpiRPIEEfz+aaHXhC7YMdzoCQtVrst94O0SgNL72A/9gx9tTupSFRw2T7eLItQ3814IWkttlIvfNush/7KfrCItr37OLEf/yY5ndXnlpAkGCMY0baVBr9zexp6Hoz3rYtHfsdWmf1LBGNv/gSVGYLro8/JNp+5vOvfc8uyn/+UwKlpVhmzCTnP36GPjuHxGXXYpkxk0DJceqff65fNbcONR/hpSNvYlAb+JcJ9xCvj+vztYSzC5aXE6qpxjRhYpfz/4YzkWQJgnBWKlnFoqy5hGPhfm8IPJSYx0/APGkK/mNHqfzz42yeYEJG4qqCpYMd2pClz80l60f/Tup996OyWGhe+Taujz489fVLcxYgSzIfl599w3ElFqNt2xZkoxHThAk9uqesN5Bw+ZXEAgFaPnz/i2tFIjS89jI1f34CJRIh5c67SL3328j6jsr8kiSR8s27MRSNwLNjO80r3+7T91zTXsdzB15EJck8MP4u0s2pfbqOcG5tmzu2Z7LOHj6rcXtDJFmCIHRpdvp0TBojG6s2E4z2f+hlqLDffCuSVsvBlChuq5rZGTNINiYNdlhDmiRJWGfMJPuxn6KOT6DpH2/i2b0LgCRDIlOSJ1LjreNAU/EZ5/qKDxN1u7FMm46s6fl8JtvChajjE3CvW0PE7SLU2EDFr36Je81qtGnpZD/2E2xz558xhCRrtKQ/+BAaezIt779L66be77O4tmIjoViY20ctpyAut9fnC91TIhHatm9DZbFiGtOzFb3DjUiyBEHokk6lZX7GbLwRH5trtg92OANGk5hI3PKb2DbRikZSc3nuxYMd0rChjosj/aGHkTQa6p57hvbSUgCW5HasSP34xLozapF9URurd3PWZI2WhKuuRgmHqf3L01T8/KcET5RhnX0R2f/vp+gyuh7eVVksZDz8KLLRRP2LfzvrxP2utIe97GrYS5Ihsctq7kL/te/fR6y9HevMWUjqobcycCCIJEsQhHOanzkHjaxhbcXGc05sHk5iSox1aR7adbAwe+4Z+84J56bPziHtvm+jhMMU/+K/ibhdpJlSmGgfR7mnkiMtx04dGwv4ad+9C409GX1B71ZuAthmX4QmOQX/USdKNErq3feReve9yLrui01qU1NJ/853Aah56k8Ea3pW2mFr7U7CsQhzM2YiS+Jl8nxp2/zFNjpfVT169jgcjosdDseTDofjZw6H46ddHLPc4XCUOByOK7/0+K8cDsfPHQ7Hrx0Ox6MDEbQgCBeOWWtidvo0XEE3uxr2DXY4/RaJRfj74dfYWL2ZFGMyl2QvGOyQhiXzpCkkXX8joeYWqp/4A7FgkKW5iwD4qHztqeM8u3ahhEKdNoPuDUmtJuWbd2OeOp3s//ezM5b5d8c4wkHqN+8h5vNR88ffE2k7d2mHmBLj0+qtaGT1ObdWEvon4mnDe2A/uqxsdFlZgx3OedNtkuVwOIzA08AjTqfzZ8B4h8Ox+EvH5AGNQOWXHr8GGOV0On/idDp/CNzmcDgmD1TwgiBcGIuz5iFLMmsqPhnWG0f7T+4793lRyUenPIBRYxjssIat+CWXkbx4EcHyE9Q9/yyZpjRGJzo47i7juLsM+GKo0DJzVp/vYxzhIP3+B9Gl9233Aeus2SRctYxwUyM1f/oDsVDX8wuPtByjyd/MlOSJmMUGzueNZ9tWiEZ7nTQPNz3pyZoFlDudzs83D/oM6FRMxul0ljmdzvVnObcIqDjt81JgUV8CFQRh8CQaEpicPJ7q9loOtzgHO5w+afG7+f3up3C6jjM+aQwPTfyWeBHtJ0mSKHjgWxhGOGjftZPmlW+zNKfjPfjHJ9YRbmnG7zyCoWgEWnvyoMaaePU1WGbOIlBaQt3zz3ZZ2mFj9RYA5mX2PSkUzi4W8Hfsj/n4b2l847WOwrQzvtrt3JOZZsmA57TP204+1hOfAdc7HA4ZUAETgTOXngiCMORdnL2AnfV7WV2+gTGJIwc7nF6p89bz1Na/0uRrYW7GLJaPWCbm2gwQWaMh/cGHqPjlz2l5/11SU1MpisvncIuTyrKPQFGwnGMbnQtFkiRS7rybSHMz7Tt30JRkx37D8k7HNPtdHGwqJtuSSY71qzuEdSHFwmF8Bw/Qtm0r3n17UMIdm4nrcvNIuOwK1Nav9nzIniRZDYDltM+tJx/rltPp3OxwOH4L/ARwAzvo3LN1hvh4I2p17/aE6iu73dL9QUKPiLYceEOtTe12BxMqR7Ov7jCtcjOFibmDHVKPHGks4Xd7nsIb8nHzuKu5dtTSYVc1eqhLzUvD+rPH2P/DH1P/979y/SN38StXCZ6tmzFqNOQtWYTaPDR6DRN+8u/s/9GPcX30AfG5GaRd9kV9tDX716GgcMXIhYP++zfY9+8PJRaj7dBhGjd+SvPmrUROFpM1ZKSTNG8u9nkXYejj0G9fDVZ79iTJ2gLkOBwO3ckhwznAkw6HIwGIOJ3OLmcROhwOPXDA6XS+efLzj4FzVoZzuXw9Dr4/7HYLjY2e7g8UuiXacuAN1TZdkHYR++oO88a+97lv3B2DHU639jUe5K+HXiGqxHhw+h2MMY+lqemrUb1+qDj1XNXZSP32v1D9+G8JPfUqM2YkYmhuRDt5Ii5/DPxD5/mc+tAjVP7XLyh95jkCaiPmiZOIxCKsOb4Jo9rACKNjUH//hurvf0/4S45T+/SfibhcAKji4oi/dCmWGTPRZecgSRLtQPsF/P7Od3ueK4HrNslyOp0+h8PxAPBHh8PRCOx3Op1rHQ7Hr4EW4FcOh0MCHgNygJscDkfY6XR+DJiBZxwOx3pAA/y30+ls7v+3JAjCYCiKKyDHksW+xkPU+xpJMdoHO6QubazazBtHV6JRabh/3J0syJs6bF+4hgvT6DEk33o7DS+9wIx1HclsaaGNnEGO68u09mQyvvs9Kv/3V9T+5Sky//VHHDJ58ITbWZQ1V2wA3Q/N764k4nJhnTsP64xZGEY4kOSv79B8j6p/OZ3O1cDqLz32w9P+rwC/OPlx+jFNwPz+hykIwlAgSRIX58zn/w6+xNqKT7h15A2DHdIZFEXhn6Ufsap8PRaNmQcm3CXm11xAcQsWEaqrxb1mNT69zGp9JXNjEdTy0Co2qc/LJ+3bD1Lzpz9Q88Tj7LwqH4C5GTMHObLhK+r14is+jC4nl9Q77x7scIaEr296KQhCn0y0jyXZkMS22l20Bs9dc2gwfHRiLavK12M3JPL9Kf8iEqxBYF9+C/FLLqPxkim0RtrZ13hosEM6K/OEiSTffgdRj4fJ/zzIeEMeyUO4d3aoa9+7B6JRLFNEfbHPiSRLEIRekSWZxdnziChRPjyxtvsTLqBd9ft4r2wVifp4Hp3yIHZj4mCH9LUkyTL2G29i/MU3AvDpybIIQ1Hc/IXUzSwirj3K/FUVxILB7k8Szqp91w4AzCLJOkUkWYIg9NqMtKmkmlL4tHoLzpbjgx0OAOVtlbxY/Do6lZb7x9+FVTt8V2d9VaSYkhkZX8Qxdyk17XWDHc5Z+SMB3in0UVJgQa6spfbZp7usoSV0Lerz4Tt8CF1WFtqU1MEOZ8gQSZYgCL2mkdXcOeomZEnmxeI38EcCgxqPO9jKM/v/RiQW5e4xt5FuFn/kh4rPi3oO1d6sHXW7CcbCSMuvwjhqNN69e2h49aVhvbPBYPDu34sSiWCeMm2wQxlSRJIlCEKfZFszWZqzCFfQzT+OvTtocYSiIZ7e/zdaQx6uLbyCsUmjBi0W4UxjE0cRp7OxrW4XgUFOxr9MURQ2Vm9BlmRmZc4i7YHvoM3IpHX9OlwffTjY4Q0rnl07ATBPFkOFpxNJliAIfbY0dzFZ5nQ21+7gYNOF38whpsR44fDrVHqqmZ02jUVZcy94DMK5qWQVF6XPJBgNsb1u92CH08lxdxm13nom2cdh01lQGY1kPPwo6vgEmla8Qdu2rYMd4rAQC/jxHdiPNj29z/tLflWJJEsQhD5TySq+Mfom1JKKl4+8RXvYe0Hv/0HZavY0HqAwLo+bHNeKSu5D1Oz06agkFRurtwypYbjPhzDnZnyxf54mIYGM7z2KbDBQ9/yz+EtLBiu8YcO7f78YKuyCSLIEQeiXDHMaV+RfSlvIw5tHV16w++6o28OHJ9aSpE/gvrF3DLk6TMIXbDoLE+1jqfXWc9xdNtjhANAa9LC38SBpphQK4/I6fU2XkUnaA9+BaJSGF/8uJsJ3w7O7Y6hQlG44k0iyBEHot4uz55NnzWZn/V52N+w/7/cra63gpSNvolfpuX/CXZi1Q2NfPKFr8zI7NokeKhPgt9RuJ6pEmZcx66w9oKbRY7DOnkOwsoLWTzZc+ACHiVgwiHf/PjQpqWgzMgc7nCFHJFmCIPSbLMl8Y/RNaGQNrzn/QVvo/G1f4wq4eebA34jGotwz9jbSTCnn7V7CwCmw5ZJuSmVP44FBL2IbjUXZVL0NnUrLtNTJXR6XdP1yZIOBprdXEPWILZnOxnvwAEoohGXKVDFcfxYiyRIEYUCkGO1cU3A53rCPV46sOC9zbwKRIE/t/yueUDs3FF3N6ETHgN9DOD8kSWJe5ixiSozNNdsHNZaDzUdwBd1MT52CQa3v8ji1zUbismuJ+bw0vf3WBYxw+Gj/fFXhVDEf62xEkiUIwoCZlzmLEXEFHGg6PGAryRRFocnfwrbaXTy9/69Ut9dyUcZM5p8cfhKGj2kpk9CrdGyq2UY0Fh20OL6Y8N79PoVxCxd3lHX4dCOBstLzHdqwEguHaN+3F43dji4re7DDGZJEkiUIwoCRJZnbR92ITqXlzWMrcQXcvb5GTIlR5anhk6rNPH/wZR777Jf8dMuveKH4dY65SxmVMILlRcvE0MQwpFfrmZ46BXewlQNNhwclhk+qNlPccpQCWx4Z5rRuj5dUKpJvuQ0UhYZXXhKT4E/jO3QIJRjAPFkMFXZFLMcRBGFAJRoSuL7oKl45soKXit/kOxPv7fIPsKIouIOt1PkaqGiroqT1BKWtJzpVkLdozUyyj6MgLo+CuFwyzenIknh/OFzNy5zFxurNbKzewsTkcRf006oIjAAAE0hJREFU3qvLN/BOyQdYtGZuGXldj88zjhyFZfoMPNu30fbZp9jmzj+PUQ4fnlN7FYqhwq6IJEsQhAE3O206exsPcrjZyaaarcxMm0ajr4k6XwP13kbqfQ3U+xqo8zUSioY6nWs3JDLBPpZCW0dSZTckiXfJXyFpphSK4vJxuo5T520g1ZR83u+pKAoflK3mgxNriNPZ+O6kb5FitPfqGkk33ET7vr00rXgL8+SpqExf7xWtsXAY7949qBMS0OfldX/C15RIsgRBGHCSJHHbyBv45bbf8cbRlbzufAeFzhPh1bKaFKP95Ecy6eZUCmy52HTWQYpauFDmZc7mmLuUT6u3cOOIZef1Xoqi8HbJ+6yt2EiSPoHvTvoWiYaEXl9Hk5BA4pVX07TiTZpX/oPkW79xHqIdPnzFh4n5/VgvmifeBJ2DSLIEQTgv4nQ2bht5AyuOv0e8Lo5Uk51UYzIppmRSjMkk6OPEsN/X1ISkMdi0FrbW7uLqgsvQqbTn5T4xJcabR1eysXoLKcZkvjvpPuJ0tj5fL/6SJbRu+hT3+nXY5s7/Wk/2/nxVoShAem4iyRIE4byZmDzugs+7EYY+laxiTvoMPjixhp11e5iTMWPA7xFTYrxc/BZb63aSYU7joYn3YdGa+3VNSa0m+dbbqf79b2h45SUyf/jjAe3FURSFYHk5UeuIAbtmT0Q9HiSdDlnbs2RXiURo37MbVVwc+vyC8xzd8CbeRgqCIAgX3JyMGciSzCfVmwe8plo0FuVvh15la91OcixZPDzp2/1OsD5nGjMW86Qp+I8dxbN14KrXR31e6p59mopf/IwDP/4Pot7zuw+ooij4ig9T8+QTlHz/Ycp//hPCzc09OtfnPELM58UyeSqSLNKIcxGtIwiCIFxwcTob45PGUN1eyz9LP+JA02Eafc3ElP6VSAhHwzx78EV2NeyjwJbLQ5Puw6QxDlDUHew33Yyk0dD41utE/f5+X8/nPEL5z/4Dz/ZtqKxWvCUlVP3+N0R9A59oxQJ+3OvWUP6Tx6j67a9p370LTWIi4bo6Kv/nl4Tq6rq9hihA2nNiuFAQBEEYFAuzLmJv4wFWla8/9ZhG1pBqtJNqSiXdlEKqKZk0UyqJhvhu5/CFoiGe2f93jriOMTK+iG+Nv/O8zPfSJNlJuPxKmle+Tcu7K7Evv7lP11EiEZr/+Q4tH74PkkTi1deQcPmVtL75Cg1r11H1u9+Q+egPUBn7nyQGa2po3bCWts2fEQsEQKXCMmMmcYsuRp9fgOujD2ha8SaV//NLMh75V/TZOWePORqlfc8uVBYrhsKifsf1VSeSLEEQBGFQFMbl8fNZP6aqvYZabz113vqOf30NVLbXdDpWQup2/pOiKCgojEsaxT1jbkej0py32OOXXEbbZ5twrV2N9aK56NIzenV+qK6W2mefIVh+Ak2SndT7vo2hoBCAwu88QMAfom3zJqp//xsyHvnXPiVaSjSKd/9e3OvW4ivuKP6qjo8nfunl2ObOR237YhFAwmVXIBuNNLz0AlX/+ysyvvsIhqIz54b5jx0l6vFgm79QDBX2gEiyBEEQhEGTaIgn0RDPBPuYU4/FlBhN/pZOiVdLwEVPZm7lWrNYVnAZavn8vrzJWi32m2+l5k9/oP6Fv5F07fXoc/OQdbpznqcoCq2ffkLja6+ghEJYZ8/BfsvtqAyGU8dIskzKN+8GFNo2f0b1478h45EfdDqmO96DB2h8/VVCtR3JqsExkrhFizFPmISkPnvbxM1fiGwwUPd/z1L1+9+Q/sB3MI0b3+mYzwuQWsRQYY+IJEsQBEEYUmRJJtmYRLIxqVPyNdSYJkzENH4C3v37qPrfX4Ekoc3IxJBfgD4/H31eAdq0tFM9PlGPh7oX/op3z25ko5HUb96DZfrZV1Z2JFr3oCgKni2bqX78t2R87/vdJlqhuloaX38V74H9IElYL5pL/CVL0GVk9uh7sk6fiaw3UPvUn6j+0x9Iu+dbp2JUYjHad+9CNpsxjBCbs/eESLIEQRAEoQ8kSSLtge/g3beHQGkpgbJSAuUnCFVV0rpxAwCyXo8+Lx9ddjZtW7cSbXVjGOEg9d5voUlIPPf1ZZnUu+6FmIJn2xaqH/8tmY98H1l/ZqIV9Xppfncl7vVrIRrFMHIUyTfd0qdaXubxE8h45F+peeJxap99mqjfT9z8BfiPHyPa2op17jwklarX1/06EkmWIAiCIPSRrNFgmTody9TpQMdk9mB11cmkqwR/aQm+4sMdc6JUKpKuv5H4JZf1eD6TJMuk3nMfoODZtpWqx39H5vcePZVoKdEorRs/oWnlP4i1t6Ox20m68WbMkyb3q4aXcYSDzH/9EdWP/5aGF/9GzOcl4u7Y8N0i9irsMZFkCYIgCMIAkdRq9Dm56HNyYeEioKOXKVB+Ak1iItqU1N5fU5ZJvfs+UMCzfSvVf/g9GQ8/SqCslIbXXiFUXYWk05N0/Y3EXXwpsmZgJvzrc3LJ+tG/U/W7/6VpxZugUiEbTRhHjhqQ638diCRLEARBEM4jlcmEaXT/5pZJKlVHj5YSw7NjO2WP/Yhoa+upeVdJ116P2hY3QBF/QZuaRtaPHqPqd/9LuL4O88SuJ84LZxItJQiCIAjDgKRSkXrvt1EUaN+5HUPRCOw339rRa3YeaRITyfrRv+Neswrb/IXn9V5fNSLJEgRBEIRhQlKpSPvW/YSuvqZj5eIA7p14LmqrlaTrbrgg9/oqEUmWIAiCIAwjkiyjS08f7DCEHhDlWgVBEARBEM4DkWQJgiAIgiCcByLJEgRBEARBOA96NCfL4XBcDFwHNACK0+n8z7Mcsxz4b+Bhp9P53mmP/w4I05HQGYGHnE5nbABiFwRBEARBGLK67clyOBxG4GngEafT+TNgvMPhWPylY/KARqDyS4/PABY7nc4fOZ3OHwAXAbMGKHZBEARBEIQhqyfDhbOAcqfTGTz5+WfAFacf4HQ6y5xO5/qznNsMmB0Oh9rhcKgBBSjrT8CCIAiCIAjDQU+SrGTAc9rnbScf65bT6TwO/AV4E3gdWENHj5cgCIIgCMJXWk/mZDUAltM+t558rFsOh+NqYKHT6Vx68vMVwH3Ak12dEx9vRK2+MLt72+2W7g8SekS05cATbTrwRJueH6JdB55o04E1WO3ZkyRrC5DjcDh0J4cM5wBPOhyOBCDidDrbznFuFlB32ue1gP5cN3O5fD0Iqf/sdguNjZ7uDxS6Jdpy4Ik2HXiiTc8P0a4DT7TpwDrf7XmuBK7bJMvpdPocDscDwB8dDkcjsN/pdK51OBz/f3t3HqNXVYdx/DtlqSyytLLHFjD4QIgGUBEUJCCyCEYjmwb0DwRkEYUgVFABgyxKW8QgyqqiBK24gBAWCUIjhUiFBBLxCTvSILIUCwEKtPWPewdmJlOYTs9979zp8/mn8965b/rr0/vec95zzz33h8DzwDmS+oBvA1OBgyS9bvsm4BfAjpLOBBYBawMXLe8/KCIiImKs61uyZEnbNQzyzDMv9qSgfFMoJ1mWl0zLS6bNSK7lJdOyejCStdQHSGYx0oiIiIgGjLmRrIiIiIjxICNZEREREQ1IJysiIiKiAelkRURERDQgnayIiIiIBqSTFREREdGAdLIiIiIiGpBOVkTECEjK+TIilklOGsuofoRQLCdJW0pate06xhNJH5a0Ydt1jCeSdpN0FYDtxW3XM15I2rTtGsajtE9llcgzi5GOgKTJwCXATNt/kzQhJ9zRkbQBsBewH/AEcKPt69qtqtskbQacAkwBvmr7MUl9tvPhHqW6E3AysEG96VTb97VX0fggaSNgD+BTwMPAP2xfm3Pq6KV9Kqt0nhnJGpnNgHWBn0K+0Y6WpO2AswEDhwOvAJu0WlTHSdqR6oRwne09gZclrdRyWZ0m6QvADcAdwBeBW4BHWi1qHJC0CnA08DhwAvAUcIakdWwvzijMqKV9KqtonulkLYWk1es/VwEm2t4VeI+kI+vtachGSNIa9Y/PAP+xfZftp6kO5PmS1qv3y0l2hAZk+iRVZ+ABSccC3wB+TNWJTabLQNKa9Y93A+fZvsL2K8CWwN7tVdZt/edSYDJwMDCn/vzPAVYFTm2rti6TtFLdDqV9Wk5Ntve5XDiEpK2BfYH1gN/Ynitpou2FkvYDLgfWs/1aq4V2wJAsf2v7bknvsv2qpF2Ag6guGR4AHGb73hbL7YSlZPpZYAdgOjAf2B84FjjU9oOtFdsRw2Vab++zvUTSZ4AFtm9vs86uGZLrLNt/l3Q1sNj2gZJE9dn/KHCE7adaLLcTJG0L7AOc1T/CImkt2wvSPi27XrT3GckaQNIWwCHAlVSXB06SdLDthQC2fw/8Ezij3n9SW7WOdUvJ8hDbr9a7zLV9tO1zgNlUQ7TxNobJdJqkA2xfA1xk+7n6xDsbuJ98vt/RMJmeKOlggAFz2raiGs3KyOAILeXzvx/VCOskSadRdRb+CtwOvNhWrV1R3yh0KPBJ4Mv1tgl1B6sv7dOy6VV7n5PwYFOBbWw/aftC4E5g5/rbQ79DqU7EPwLWaqPIjhia5RxgJ0kfqn+/CYCkfYH3Ave0U2anDM30DmB3SdvWk923qff7CDAJeLqtQjtkJJ/5PwMbS1opNxOM2HDH6qeBSbZ3By6xPRNYDKwGLGyv1M5YC5gL/ArYV9L6A+ay9bflaZ9GriftfTpZgz0KLJD0sfr1jcASYCN4cx7MZlRzXs62/VgbRXbE0rLsv1vrSEmXAasDhyfLERku08XUxydwjKRLgbWBo2y/0EKNXfO2n/na5sAdthf1urgOGy7X1wDVrz8h6WKqUcLzbb/eQo2dYvtZ278E7gL+BxxRb19ie1Hap2XWk/Z+hexkSVp/yOv+SW2vA/OAvSWtbPsBYBXgffXvFwK32z6unri5whtFlu+vf38x1S2ys2zP71nBHTCKTPsbrh8A59r+dTIdbDk+81AtM3JzbyrtllHkukX9+7upOleX217Qs4I7YJhMJ2jwQrgPAbcB20rafMD2tE8jMOCSf0/a+xVq4nt999DngJ2o1mi5w/acIfscDOwKPGB7hqRvAo/Y/kPPCx7DkmV5ybS8ZNqM5FreO2UqaSIwwfYr9R3ZpwHbAz8HfpZL2YNJWg04F7jB9vX15f5FQ/Zp/Bhd0UayDqS6vHI61bDgiZL6J7R+S9IMqm9YFwDbSToXeA74YzvljmnJsrxkWl4ybUZyLe/tMj0JmMFbl7EnA2sAVwMXp4M1rA9QzfedCVBfUu0DkHRir47RcT+SVd99sbgexr4ROMH2fZI2AY6nmsx2AnAWMKP/uquktYFFtl9qqfQxJ1mWl0zLS6bNSK7lLUem6wOvZ1rAYAPy7KN6qsA9wLXA9bbPrLdvDEyjmq7yWP2+xo7RcdvJqg/CY6muq862PbvuuU61vX8d9seBrwOn2H6ofl8eSTBEsiwvmZaXTJuRXMtLpmUNyfM2V4/DWdf2fEl7AlcAW9t+dsj7Gs9z3F0ulNQn6UtUj2/4C7AA+FP960uBqZL2rodX5wHPAi/V780BPECyLC+ZlpdMm5Fcy0umZS0lz2sA+kf5bN9EdaPAmfV71ux/by/yXLnpv6AF61CtwXS57SeA2ZJ2rodf/0U1SXCmpFuBDakyWAx55tMwkmV5ybS8ZNqM5FpeMi1ruDx3kjSlft3vZOAhVQu6fh94qVfz2MZFJ6ueHPh5qge53gPcSvUNAElTgSdtz6u/CVyo6s6MU6gmF55m+78tlT7mJMvykml5ybQZybW8ZFrWCPKcZ/uJAfOzJgIfpFo26DzbD/ey3s7OydJbzxU7impy4KNUt2KuYvuwAfvtBkyhWiV3H9vX1ttXtv1GC6WPOcmyvGRaXjJtRnItL5mWNco89wJuAPqAtW0/3/vKOzonq54UuFr9ch2qxQJnAd8BDpK0x4Dd16D6Dzmeahh2U4AcwJVkWV4yLS+ZNiO5lpdMy1qOPM8Hpthe1FYHCzrYyZK0I9W6F9NVPUF7F6pnEGH7Oao1RqYPeMsxwE+AdwM7OI8aeFOyLC+ZlpdMm5Fcy0umZY2HPDtzubC+I+B04EFgFtWdGPcCLwBfs92/aNtEqsXEpgHPU90C+zvbc1soe0xKluUl0/KSaTOSa3nJtKzxlGeXRrL6b2m9pb4183vA9rYvAN6QdFy932TAtu+3Pc/2tLEU+BiRLMtLpuUl02Yk1/KSaVnjJs8udbJeBq4ecmfAnfWf3wW2UrUs/leAuTDoQZAxWLIsL5mWl0ybkVzLS6ZljZs8O7OEg6s1Lf49YNNU4IH651WpHjuwHvBofa22/z0xRLIsL5mWl0ybkVzLS6Zljac8O9PJGsZGwPOSrqJaSv9m24+3XFNXJcvykml5ybQZybW8ZFpWZ/PszMT3gSRtCMwB7gdm2b6y5ZI6K1mWl0zLS6bNSK7lJdOyup5nV0eyFgOXAdNtL2y7mI5LluUl0/KSaTOSa3nJtKxO59nJkayIiIiIsa5LdxdGREREdEY6WRERERENSCcrIiIiogHpZEVEREQ0IJ2siIiIiAakkxURERHRgHSyIiIiIhqQTlZEREREA/4Pkv6L21twFe8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.plot(srd.time_grid, srd.get_instrument_values()[:, :10])\n",
    "plt.axhline(me_srd.get_constant('theta'), color='r',\n",
    "            ls='--', lw=2.0)\n",
    "plt.xticks(rotation=30);\n",
    "# plt.savefig('../../images/ch18/dx_sim_03.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Valuation Classes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### European Options"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {
    "uuid": "9f6df028-fd97-4dc9-9960-d5202b94feb1"
   },
   "outputs": [],
   "source": [
    "me_gbm = market_environment('me_gbm', dt.datetime(2020, 1, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {
    "uuid": "527be3e7-3e98-4fe5-b41e-23af730c0921"
   },
   "outputs": [],
   "source": [
    "me_gbm.add_constant('initial_value', 36.)\n",
    "me_gbm.add_constant('volatility', 0.2)\n",
    "me_gbm.add_constant('final_date', dt.datetime(2020, 12, 31))\n",
    "me_gbm.add_constant('currency', 'EUR')\n",
    "me_gbm.add_constant('frequency', 'M')\n",
    "me_gbm.add_constant('paths', 10000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {
    "uuid": "fc61c07b-7bb2-45ac-a10d-617a24747953"
   },
   "outputs": [],
   "source": [
    "csr = constant_short_rate('csr', 0.06)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {
    "uuid": "6acd3ae9-5986-4cec-9f66-407ddd79202e"
   },
   "outputs": [],
   "source": [
    "me_gbm.add_curve('discount_curve', csr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {
    "uuid": "dc0c43ae-c6f0-434e-ad6e-c3fbe91b1175"
   },
   "outputs": [],
   "source": [
    "gbm = geometric_brownian_motion('gbm', me_gbm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {
    "uuid": "17f4b627-7fb8-43f6-bb15-26a6a4d60b0b"
   },
   "outputs": [],
   "source": [
    "me_call = market_environment('me_call', me_gbm.pricing_date)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {
    "uuid": "838f54a8-e11c-4ab5-85ce-8393d89f957f"
   },
   "outputs": [],
   "source": [
    "me_call.add_constant('strike', 40.)\n",
    "me_call.add_constant('maturity', dt.datetime(2020, 12, 31))\n",
    "me_call.add_constant('currency', 'EUR')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {
    "uuid": "4bfb5550-ab6b-4b56-9604-3fad05c5f334"
   },
   "outputs": [],
   "source": [
    "payoff_func = 'np.maximum(maturity_value - strike, 0)'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {
    "uuid": "5a331672-9004-43b0-9ba6-61622d4e1b65"
   },
   "outputs": [],
   "source": [
    "from valuation_mcs_european import valuation_mcs_european"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {
    "uuid": "0ba08733-7d34-488e-b460-e5abc223a85a"
   },
   "outputs": [],
   "source": [
    "eur_call = valuation_mcs_european('eur_call', underlying=gbm,\n",
    "                        mar_env=me_call, payoff_func=payoff_func)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {
    "uuid": "1869f59a-2c88-4bb4-bde6-b662edbd5f62"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 6.12 ms, sys: 2.25 ms, total: 8.37 ms\n",
      "Wall time: 6.87 ms\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "2.27958"
      ]
     },
     "execution_count": 74,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%time eur_call.present_value()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {
    "uuid": "62330fe7-0fbe-4a24-886e-a9c64b61122c"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 5.67 ms, sys: 1.55 ms, total: 7.22 ms\n",
      "Wall time: 5.99 ms\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "0.5474"
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%time eur_call.delta()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {
    "uuid": "999b5d90-57b9-46da-b7cc-981841df58b8"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 9.81 ms, sys: 1.37 ms, total: 11.2 ms\n",
      "Wall time: 9.62 ms\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "15.1853"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%time eur_call.vega()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {
    "uuid": "bf5e7430-eea7-47ae-b1a6-e335c144929b"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 127 ms, sys: 2.2 ms, total: 129 ms\n",
      "Wall time: 128 ms\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "s_list = np.arange(34., 46.1, 2.)\n",
    "p_list = []; d_list = []; v_list = []\n",
    "for s in s_list:\n",
    "    eur_call.update(initial_value=s)\n",
    "    p_list.append(eur_call.present_value(fixed_seed=True))\n",
    "    d_list.append(eur_call.delta())\n",
    "    v_list.append(eur_call.vega())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {
    "uuid": "70b7e095-a138-47bb-90b5-2a658d74b87c"
   },
   "outputs": [],
   "source": [
    "from plot_option_stats import plot_option_stats"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {
    "uuid": "2590618e-3bfd-4416-82b6-eef269a28f38"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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R3gCPx2bcOCtqa5bMTIUn6b5cC1OGYRjAPcB5YD7wfdM017t1fhERaRv19c5i8Y0bnc2AN23ysX//R+Hvewkylc3M5wPmeVeRW/wC6elxbLBIB+NKmDIMwwcsA+4wTdMyDOO/gYAb5xYREXedOOFpFJy8bNvm4/z5yJRdWprNLb0+JL/6T8xkHfmsJYUqAAK5eZQrSIlE8dh27EOzhmHMBP4R+COQDJwGfmmaZrMnDwSCtt+vIiIiIm2ptha2boW1a2HdOuf+4MHI971emDABZs50bvn5kJ0N3ldegnvuaXrC3/4WPve59nsDIh1Hs5dQuDXNNxzIB+4xTbPCMIwXgTrg+eZ+oLy8xqWXbl5mZgplZefa/HW6E/Wp+9Sn7urO/WnbcOSIh02bfOGRpx07vNTVRX4H9Otn8YlPWEyb5uxnN3lykN69o89z+jRww+0kPf0sycuX4S/ZRSAnl5rFS6i94Xbopv3rlu78GW0r7dGnmZkpzX7PrTBVCewyTbOi4etVwAIuE6ZERCQ258/Dtm3OVF1orVPjquJ+v8348ZHgNG1akBEjWl6ioHZhAbULC8jMTKFcv/xFmuVWmPoY6GcYhs80zSDOSFWJS+cWEen2bBsOHIiMOm3a5KOw0EsgEElG/ftb3HZbPdOnB5k+3WLixCDJyXFstEg34UqYMk3zjGEY3wGeMAyjDMgE/tmNc4uIdEdVVc6oU2iR+MaNPk6diow6JSTYTJpkhUecpk8PMniwCmOKxINrpRFM01wJrHTrfCIi3YVtw549nvCI08aNPoqLvVhWJBkNGeLsZRcKTnl5Fj16xLHRIhKmop0iIu2sshI2b44Ep82bfZSXR4JTjx4211zjTNWFwlNWlopiinRUClMiIm3IsqCkxNsQnJx70/Ri25HwNHy4xfXXB8JTduPHWyQkxLHRItIqClMiIi4qL3dGnTZscEaeNm/2ce5cJDglJ9vMnu2EJudmaSsWkU5OYUpE5CoFAlBc7Iw2habs9uzxRh0zZkyQ226LTNfl5lr49S+vSJei/6VFRFqorMzDpk3ecHDassVHTU1k1CklxWb+/ADTpgW55pogU6YE6ds3jg0WkXahMCUicgn19VBU5ASn0JTdgQORUSePx8YwQqUJnJGnnBwLr/cyJxWRLklhSkQEOH7cEw5Noc1/L1yIjDqlp9vceGMgvNZp6tQgqalxbLCIdBgKUyLS7dTWwvbt0WudjhyJDCl5vTbjxlnh4HTNNUFGjVJBTBG5NIUpEekSklauIPmJx6FkF+k5udQ8tJTahQXYNhw+7IkKThdv/puRYXHLLfVMm+ZM202a1HTzXxGR5ihMiUinl7RyBamL7geghp5sKk5n3aKdfPhfZ9hwbCgnTkRv/puXF7357/DhGnUSkaunMCUinVZVFRQW+tjzj8fYzjNsYQqF5BGgoeLlVsjKsvjkJ+vDNZ0mTQrSs2d82y0iXYvClIh0CmVlHnbs8FJY6EzT7djhY+/e0IjTIwD04DzT2Ug+a5nJOmb6NtBj23aNOolIm1KYEpEOxbbh4EEPO3b4KCx0QtOOHV6OH4+uOdCnj82cOQHy8ixmvv6PTD/6BwxM/ATDxwSMPMoVpESkjSlMiUjcBAJQWuoNjzQVFjojTxUV0Qlo4ECLm28OkJcXZMIEiwkTggwdGlnnlDTFIHXRvzU5f83iJe3xNkSkm1OYEpF2cf487NwZGWkqLPRRXOyNquXk8diMGmVz3XXOiNOECU54ysi4/N51tQsLqASSly/DX7KLQE4uNYuXULuwoI3flYiIwpSItIGzZwmHptCIU2mpF8uKBKeEBJvc3EhgysuzGD/+6ksS1C4soHZhAZmZKZSXnXPpnYiIXJnClIhcNdt2Kofv2OFl+/bIiNOhQ9Hrm3r1spk+PTJFN2GChWFYJCbGqeEiIi5yNUwZhtET+Bh41zTNb7t5bhGJL8uCffs8TUacTp2KDk4ZGRYLFgTCoWnChCAjR9ras05Euiy3R6Z+BGxx+Zwi0s7q6sA0IwvDd+zwUlTko7o6emH4sGEWt91WHzXilJWlApgi0r14bPvyCztbyjCMe4FqYCLQ+0ojU4FA0Pb7fa68tohcvXPnYNs22LIlcisqgvr6yDFeL4wdC1OmRG6TJ0N6evzaLSLSzpr9M9GVkSnDMMYBY03TfMQwjIkt+Zny8ho3XvqyMjNTKNNCVFepT93Xnn16qcKX+/Z5sO3IvxE9etgNC8Ij03Rjx1pNqoYHAlBW1i7NbhV9Rt2nPnWX+tN97dGnmZkpzX7PrWm+hcAFwzD+AZgDJBqG8ZBpmk+4dH4RaYXWFL6cNSt6YfiYMRZ+XZoiItJirvyTaZrmv4QeG4bRA2eaT0FKpB20tPBlVpbFTTc5C8NDNZyGDdP6JhGRWLl9Nd+ngXk4I1P3mKb5WzfPL9LdnT8PxcXRhS937owufAkwalToirrIdF1mpjvrI0VEJJqrYco0zVeBV908p0hXlbRyBclPPA4lu0jPyaXmoaVRFbvPniVqbVOo8GUwGF340jCs8DRdXp4Tnq628KWIiLSeVkaIxEHSyhWkLrofABs4UVzOlkWvsu7NSWwJTKCw0MfBg9Hrm5KTbaZNi17flJNjkZQUhzcgIiJhClMi7cS24dQpD7t3ezn8TwcpZRk7GccWplBGf+eg1527fv1U+FJEpLNQmBJxWTAIhw55KC31XnTzUV4emqL7p/Dxw9nPXaxkCluY7N3O8M0vMnCgFoaLiHQWClMiV+n8edizx8vu3V5KSiL3e/c2XRDu9dqMGGFz7bUBxoyxmPzqPzP+2Pvksos0KsLHBXLzKB+kheIiIp2JwpTIFZw5A6WlviYjTQcPRhe7BGddU06OU6spJ8ciO9u5jRwZvbYpacIYUhc91uS1ahYvaeu3IyIiLlOYEsHZxPfIkcjUXGikqbS06Ua+4GzmO3NmMByWsrOd8DRoUMvWNdUuLKASSF6+DH/JLgI5udQsXhJ1NZ+IiHQOClPSrdTWwt69kSm5UHjas8dLTU30KJPHYzNsmM2UKYFGI01OgHJjT7rahQXULiwgMzOFcm0tISLSaSlMSZdUUUGTxd8lJV4OHPBgWdGhqUcPm9GjrajpuTFjLEaPtujRI05vQEREOg2FKem0bBuOHfNELf4OhaeTJ5vOtfXta3HNNdFTc9nZFkOG2Ph8cXgDIiLSJShMSYdXXw/79nkvuZ6purpp/YBhwyyuvz4QtZZpzBiLjAxdJSciIu5TmJIO49w5mowwlZZ62b/fSyAQHZoSE52puezs6CvnRo+2SE6O0xsQEZFuSWFK2pVtw8mTztRc4+m53bu9HDvWdGquTx+byZNDU3KRKbrhwzU1JyIiHYPClLSJQAAOHPBQUhKpzxSamqusbDo1N3iwxfz5gajaTNnZFpmZqgQuIiIdm8KUtEjSyhUkP/E4lOwiPSeXmoeWUruwgOpqwiGp8W3vXi/19dEpyO+3GTXKYu7c6CvnRo+26N07Tm9MREQkRgpTckXeFa9y6ms/ZD8jKGEOu4pzKV40iOLvejh0pmkK6t3bZsIE66Kr5oIMH26TkBCHNyAiItKGFKaEujqn+vehQ14OH/Zw8KCXQ4e8HDrkPHfsyL1Y3Nfk5wZVnmDu3B5NqoAPGKCpORER6T4UprqBxmEpFJKcwNQQlo413WMOnM15Bw60mc0aRrCPEexnNHsYSzEGJqnUcOrVM3F4RyIiIh2HK2HKMIzRwI+AzcAQ4LRpmv/sxrnlymprLx2WDh++clgaNMhm5swgQ4faDB1qMWyYFX48aJAzLZc+/6v4i4ua/HwgJ6893p6IiEiH5tbIVF/gJdM0XwMwDGOnYRhvmqa5yaXzd2vNhaXQyNLx482HpcGDrxyWrqTmoaWkLrq/6fOLl7jx9kRERDo1V8KUaZobLnrKC1S7ce7uIBSWGq9VCj0+fNhzxbCUn3/psDRwoDsLvmsXFlAJJC9fhr9kF4GcXGoWL6F2YUHsJxcREenkPLbt7hYbhmEsBBaYprn4cscFAkHb7+8eVRdra+HgQdi//9K3o0cv/XM+HwwdCiNGwPDhzn3j2+DB6Oo4ERGR9tHspVWuLkA3DOM64DrgoSsdW15e4+ZLX1JmZgplZefa/HUuXGg6snTokDc8FXfiRNPK3gA+nzOyNHt2ZDTJGV2KjCz5L/Nf6OzZNnpDl9FefdqdqE/dpf50n/rUXepP97VHn2ZmpjT7PdfClGEYtwNzgcXAQMMwhpumudat88fThQuESwYcPtz6sDRnTiAcloYMaXlYEhERkY7Prav5pgEvAxuBvwC9gP8E4hKmmqvW3Zzz5y8/snTy5KXDkt/vXA3XOCw1HlnKylJYEhER6ercWoC+CegQG4IkrVwRdeWZv7iIhEVfo+R4H/YYt4QD0uHDLQtLgwfbzJ0baAhKdtS9wpKIiIh0uSiQ/MTjAJjk8GV+SQk5nCAL/qnpsc2FpcYjS77usUZeRERErlKXC1O+kl0AHCeLIsaTTjl5/InhnoP0/87nw6Fp2DBn2xOFJREREYlFlwtTwZxc/MVFzOdDTpMRfj4wNo/yJX8Tx5aJiIhIV3TpxUKdWM1DSy/9vKp1i4iISBvocmGqdmEBlU8/S2BcHvj9BMblUfn0s6rWLSIiIm2iy03zgROoahcWkJmZQrkKo4mIiEgbcn07GREREZHupMtN84mIiIi0J4UpERERkRgoTImIiIjEQGFKREREJAYKUyIiIiIxUJgSERERiYHClIiIiEgMFKZEREREYqAwJSIiIhIDhSkRERGRGChMiYiIiMRAYUpEREQkBgpTIiIiIjFQmBIRERGJgcKUiIiISAwUpkRERERioDAlIiIiEgOFKREREZEYKEyJiIiIxEBhSkRERCQGClMiIiIiMVCYEhEREYmBP14vXFZ2zm7r10hPT6a8vKatX6ZbUZ+6T33qLvWn+9Sn7lJ/uq89+jQzM8XT3PeuGKYMw8gCfgRMMk3zmkt8vwfwU+AIkA382DTNkqtvrnv8fl+8m9DlqE/dpz51l/rTfepTd6k/3RfvPm3JNN8c4DWguUT2EHDQNM1/BX4GPONS20REREQ6vCuGKdM0VwDnLnPI7cDahmN3AJMMw0h1p3kiIiIiHZsba6b6Ex22Khueq7zcD6WnJ7fLsFxmZkqbv0Z3oz51n/rUXepP96lP3aX+dF88+9SNMHUSaPwOUhueu6z2WHyXmZlCWdnlBtWktdSn7lOfukv96T71qbvUn+5rjz69XFi7qtIIhmH0bTSV9yaQ3/D8BGCbaZqXHZUSERER6SquGKYMw5gP3AsMNAzje4Zh9AT+AfhawyHLgeGGYXwPWAp8sa0aKyIiItLRXHGazzTND4APLnr64UbfPw886HK7RERERDqFTl0BfWXpCua/lM/A/0pn/kv5rCxdEe8miYiISDcTtwrosVpZuoJF790f/rr4TFH464XZBVd93p07C3nqqScJBAJcc8211NbWAnDvvX9HSsqlF5+9++7bLFv2E9555y8AvPXWH5g7d0Gzx4uIiEjX0WlHpp7Y9Pgln1++eVlM5x03Lo8pU6aRlzeRL35xEV/72jeZMmUaixc/QCAQuOTP3HzzrfTu3Tv89Vtv/YGqKl2pISIi0h102pGpkvJdrXo+Fvn5s3nuuV+yceN6Cgu3EwwG8Xq9JCcn8/nP/23UsevXr+P48WO88spvGT58OHfdVcB3v/ttxo4dx8mTJ5k4cRI333yr620UERHpblaWruCJTY9TUr6LnPRcHpq2NKbZqavVacNUTnouxWeKLvl8W8jKGsjx48coKtrBz372nwB8/etfYcaMmWRnG+HjZsyYSVbWQD7zmXsYOHAQALfd9knmzl1AMBjk85//G4UpERGRGNTXwwvr3+If3noKzg+CoftdW+5zNTptmHpo2tKoNVMhi6cuaZPXO378GGfPlnPhwgVeeOF5AAYMGMDZs+WX/blAIMD+/fsoKTFJTEy64vEiIiLd1fnzcOKEhxMnvJw86Wl47HwdenzypIfTpz3Y9meBzzo/eP2jMO8xwFnuozDVQqGOWr55WXh4b/HUJW3SgRs2rKOuro5x4/IoKTG59977ANi0aQODBx4FNQoAACAASURBVA9tcrzP58O2bfbs2c3Ro4fZsOFjnnzy5wC8+urLrrdPRESko7JtOHeOqEDUOCBFQpOXykrPZc/Vu7fNgAE2OTlB1lauwO59FFKPwMQXwse0xXKfK+m0YQqcQOV2eNq1ayfbtm2hvr6e55//FbW1tQQCAZ588r9ITe3Dzp2F/Pzn/z8+n4+6ujoeeODrvPvu21RVVfG//7uCu+4q4Npr83nxxeepq6vjwQcX8/LLv+FnP/sJmZn9uXDhPG+88Rqf/OSdrrZbRESkPVkWnDnjiRoxulRgOnnSw/nzlw9JfftaDB5sMWWKE5YGDLAa7p1b//7O1716RX5m/ks/atflPpfjsW273V8UoKzsXJu/sPY/cp/61H3qU3epP92nPnVXR+/PQADKypqfYms8ohQINB+SvF6bzEy7USiy6N8/+usBA5xjkpJa386LSySFPH3Ts20yS5WZmdLsm+3UI1MiIiLSMhevR2o8vdZ4NMlZj9R8SEpMdMLQpElWkxGk0Nf9+9tkZNj4fG33ftpzuc+VKEyJiIh0Um6uR+rVywlE2dnBRtNrF0+5WaSlgefyp2o3oeU+8R7tU5gSERFpB62pidQW65EmT770eqTQ9Fuj2tPSSgpTIiIibSy8vsfyQlUWxYd7sGjt7/lwaA6D7OlNAlNZmYf6+iuvR8rOttpkPZK0jsKUiIiIS2wbTp3ycPCgh4MHvQ03D79fnwsnS6FiGFiJ4eP/56KfD61HmjgxvuuRpHUUpkRERFqhqgoOHIgEpcah6cABLzU1lxpRyodex2HQJuhzEFKOQu9jeFNP8vI9T3XI9UjScgpTIiIijdTVweHDnqjA1PjxmTPeS/5cSorNyJEWw4ZZDBtmM3x45PGXP16AWb2xyc/k9stj/vxgW78laWMKUyIi0q1YFhw/7owo7d8fPbJ08KCXY8cuXRogMdFm6FCbSZMCUYEpFJouN6q0xPe1dt0CTdqXwpSIiHQptu1cCRcKR86oUiQ0HT7soa6uaerxeGwGDbKZOTPI8OF2Q2CKhKYBA2y8lx6UuqKOVBNJ3KcwJSIinU51NU3WLB04EHlcVXXpIaKMDIu8PCsqKIUeDxlik5h4yR9zRUepiSTuU5gSEZEOp77eWbd08RRcaJTp1KlLDxH16uWEI2fqzW4SmlRLSdqCwpSIiLQ7y4KTJz3hcHTx1XFHj3qwrKajSwkJNkOG2IwfH2gITdGBqV8/W1fDSbtTmBIRkTZx9mykhEDjKbiDBz0cOuSltvbS65aysmyuuSYYHk1yFnk7j7OyVF9JOp4WhSnDMG4E7gZOArZpmj+46PsjgZ8CG4DJwG9M03zd5baKiEg7utL2JzU1cOhQ0ym4UGhqbi+49HSb3FwrqnRAKDQNGaKK3dL5XDFMGYaRDPwcGG+aZq1hGK8ahnGDaZrvNzrsYWCVaZo/MwxjCvAKoDAlItJJrSxdwaI/fgkqhkL5PIrPjmTR747wTI+TWOUjOHDAQ1nZpdct9ezpXP02c2bTNUvDh1ukpLTzmxFpYy0ZmcoHDpimWdvw9WrgdqBxmDoBZDY8zgQ2udZCERFpU+XlsHu3lz17nNvu3V7+tHk2nKyGYI+oY9cDfr/N4ME2c+cGLrnQOzNT65ake2lJmOoPNL6Gs7LhucaWASsNw1gGzAB+eKWTpqcn4/e3/cR3Zqb+BHKb+tR96lN3qT+bqq2FPXugpARM07mFHp86dYkfSBwI/QuhXwn03QNp+yB9H76+hzj/k934/R7gKosuiT6jbSCefdqSMHUSaNzC1IbnGnse+JVpmr81DCMTKDUMY5RpmmeaO2l5eU1r29pqquXhPvWp+9Sn7urO/WnbcOKEh927vU1Gmg4ebHp1nM9nM2yYzZQpFqNHO7cxY5zb3/w5n13lRU1ew+iXR3l59+xft3Tnz2hbaY8+vVxYa0mYWgsMNwwjqWGqbzbwlGEYfYGAaZqVwFDgWMPx5YCF/mQREWkTVVWwd683HJpCj/fs8VJd3XR+LSPD4pprgg2ByQ4HpuHDrWaLVH5r+lJtfyLSQlcMU6Zp1hiG8VXgScMwyoDtpmm+bxjGT4AzwI+BbwEPGYYxCxgJPGKa5qUGjkVEpAWCQTh40BM1uhS6P3686d+qPXo4m+yGRpcajzSlpbX+9bX9iUjLeWzbjssLl5Wda/MX1lCq+9Sn7lOfuquz9efp056G0aXo6bn9+72X3D9uyBCLUaMi03Ghx0OGXP2+cVfS2fq0o1N/uq+dpvmavaxCRTtFRNrYhQuwb5+3ySjTnj1eysub/vuckmIzfnzTUaZRoyySk+PwBkTkshSmRERcYNtw9KinSVjavdvLoUMebDs6NPn9NsOH28yYEYyakhs92lJpAZFORmFKRKQVzp0jHJIaL/7eu9dLTU3TBJSZaTFzZjBqSm7MGKceU0JCHN6AiLhOYUpE5CKBgLP4u/Gi79D9yZNNFyb17GmHg9LFo0ypqXF4AyLSrhSmRKRbsm04deriq+WcALV/v5dAIHqUyeOxGTrUZsGCQDgohe4HDWq7xd8i0vEpTIlIl9Dcprznzzs1mRrXZQoFqIqKptNyffrYTJrUdPH3yJEWPXvG4Y2JSIenMCUind7K0hUseu3bcHwSlC2g+LTBouWDeKQazpzo3WTxd0KCzYgRFvn5ocBkh8NTv35a/C0iraMwJSKdSjDojDQVFYVuPv664Vao+Lsmx1aknmTWrJ5N1jENG2bj179+IuIS/XMiIh1WZSXs3OmLCk67dnk5f/6ioaOUIIx5C7K2Qf8dkGE6G/T2vMDKB5rdIlRExBUKUyISd5blXD1XVBQdnA4ejF7VnZBgk5NjMX68xfjxwYZ7i7vf+wTFZ5puypuTntdeb0FEujGFKRFpV9XVsGuXNyo47dzpo6oqerQpI8Ni3rxAVHDKzr70xrwPTdOmvCISPwpTItImQhXBQ6NMofu9e6Orgft8NmPGOCNM48ZZ5OU5wal//5YvBNemvCISTwpTIhKzCxegpMTbJDidPRudhvr0scnPD0aNNhmGRY8esbdhYXYBC7MLtImsiLQ7hSkRaZUTJ6JHm3bu9FJa6iUYjAQnj8dmxAibOXOcabrQaNPgwSo7ICJdj8KUiFxSfT2Ull482uTl1KnoReHJyTZTpjReEB5k7FiL3r3j1HARkXamMCUilJdDUZGPwsJIcCop8VJXFz2MNHSoxS231DNuXOSKuhEjtJWKiHRvClMi3UgwCPv2eaLWNRUVeTl6NDoN9ehhNwSmSPmBceOC9OkTp4aLiHRgClMiXdS5c0Stayoq8lFc3LTgZVaWxQ03BKKC06hRliqEi4i0kP65FOnkYi142a+fHaeWi4h0DQpTIp1ITQ0UF7tb8FJERGKjMCUSJytLV/DEpsfDRSYfmrY0XGSypQUvvd5IwcvGwWnAAJUgEBFpLwpTInGwsnRFZPuTQCLFRQksev9DXk6cQe1Rg507fZSXR6eh1FSbmTODUcHJMCx69ozDGxARkbAWhSnDMG4E7gZOArZpmj+46Pse4BsNX44A0kzTbLpRlkg3d/48FBV5+cdnj0Lpc3BsGpzKBSsBgD8TKXg5e3b0NN2QIRptEhHpiK4YpgzDSAZ+Dow3TbPWMIxXDcO4wTTN9xsd9gXgrGma/93wMxPbprkinUdtLezc6WXrVh/btjn3phmqFP6oc1BCFQzaAFnbYMA2fAOLKH3kLRW8FBHpRFoyMpUPHDBNs7bh69XA7UDjMPV54B3DML4JZAG/crWVIh1cXR3s2hUJTtu2OWUI6usjQ0k9e9pMnWoxeXKQN8//E0f7/C/0KwGvFT7G6JenICUi0sm0JEz1BxrvGlrZ8Fxjw4FU0zT/2TCMHJxgNdY0zWBzJ01PT8bv97W6wa2VmZnS5q/R3XT3Pq2vh507YeNG2LTJud+2zQlUIUlJMHUqTJ/u3KZNg7FjPQ2feR8vFU7inld/3OTc/3fBo92+f92gPnSf+tRd6k/3xbNPWxKmTgKNW5ja8FxjlcDHAKZplhiGkQoMBfY3d9Ly8ppWNfRqaPd493W3Pg0GoaTEGx5t2rrVubLuwoXIiFNCgs348RaTJgWZNMm5z821SEiIPld5eeTxDQNu5+mbnmX55mXhq/kWT13CDQNu71b92xa622e0PahP3aX+dF979OnlwlpLwtRaYLhhGEkNU32zgacMw+gLBEzTrMSZ8hsF0BCkfMDxWBsu0p4sC/bs8bJ1ayg4eSks9FFTEwlOfr9Nbq4zVTdpknOfm2uRlNT611uYXcDC7AL9wyoi0sldMUyZplljGMZXgScNwygDtpum+b5hGD8BzgA/Bv4N+IlhGI8Ao4G/NU3zQls2XCQWlgX793vYutUXXue0fbuP6upIcPL5nIrhkyc7o02TJwcZN86iR484NlxERDqcFpVGME3zPeC9i557uNHjCmCRu00TcYdtw4EDnvA0XSg4VVZGgpPH4wSn0GjTpElOOYLk5Dg2XEREOgUV7ZQuxbbh8GFnxGn79tDVdT7Ono0u0DRmTJCbbopM1+XlBXUVnYiIXBWFKem0bBuOHbs4OHk5fTp6g9+RIy2uuy7AxIlBJk+2mDAhSGpqnBotIiJdjsKUdBonTnjCxS9DC8TLyqKD07BhFrNm1Yen6yZODJKWFqcGi4hIt6AwJR1SWZknarRp61Yfx49HB6fBgy1uu60+vEB80qQgffvGqcEiItJtKUxJ3J05A9u2RUabtm/3cfhwdHDKyrK45ZbGI04WmZl2nFosIiISoTAl7aqigvBVdaGRp4MHo4NTRobFTTcFwuUIJk2yGDBAwUlERDomhSlpM+fOwfbtvqjq4fv2RQenfv0srr8+EB5tmjw5yMCBNh5PMycVERHpYBSmpEVWlq7giU2Ph7c+eWjaUhZmF4S/X1UFhYW+RgvEvezeHb33Ylqazbx5gajq4UOGKDiJiEjnpjAlV7SydAWL3rs//HXx8b0sevYX/DllLPbRaWzb5qW01ItlRVJRSorNnDmBqCKYw4crOImISNejMCWXVVsL//r7P8KuB+DodOd2cjzYfl5uOKZXL5trr42MNk2eHGTECBuv97KnFhER6RIUpiQsEADT9DbsV+fc79zppb7+pchBCdUwZB0M2oh3yBY+WvIUo0ZZ+HzNn1dERKQrU5jqpiwL9uzxhkPT1q0+Cgu9nD8fmYdLTLTJy7PY3+sVyvu9C4M2QMYu8AUByO2XR3a2Fa+3ICIi0iEoTHUDtg0HD3rCoWnrVufquqqqSHDy+Wxyc0PTdM792LEWiYmwsvQCi957vsl5F09d0o7vQkREpGNSmOqCQvvVhUadtm3zcuZMZAGTx2MzZowVDk2TJwcZP94iOfnS5wtdtbd887Lw1XyLpy6JuppPRESku1KY6uROn/ZETdVt3erlxInold/Dh1vMnVsfHnWaODFISkrrXmdhdgELswvIzEyhrOyci+9ARESkc1OY6kQqKyPVw0MB6tCh6OA0cKDFrbfWh0edtF+diIhI21KY6qCqq2HHDmeKbssWZ9+6PXuaVg+/4YZAeKpu8mRtuyIiItLeFKY6gNpa2LkzEpq2bvVimtFFMFNTbebODUQtEFf1cBERkfhTmGpnjWs5bdniXFXn1HKKpKLkZJtrromEpilTVARTRESko1KYakMtreU0YYLFpElOaJo0ySInR0UwRUREOguFKZe0ppZTKDRNmRIkN9ep5SQiIiKdk8LUVbqaWk55eRY9e8ax0SIiIuK6FoUpwzBuBO4GTgK2aZo/aOa4zwMvAimmaVa51so4O3XKw7ZtbV/LSURERDqfK4YpwzCSgZ8D403TrDUM41XDMG4wTfP9i44bC4xro3a2m1AtJ+fKukvXcho0SLWcRERExNGSkal84IBpmrUNX68GbgfCYaohcD0MLAIecbuRbaW1tZxCa51Uy0lERERCWhKm+gON9w+pbHiusX8BfmiaZp1hGC164fT0ZPz+trlk7aXCl3jso8fYWbaTcZnjeGTuIyzM/hzbt8OGDbBxo3O/c6dzxV1Inz5www0wfTpcc41zP2yYF4/Hi5aXRWRmav7SbepTd6k/3ac+dZf6033x7NOWJISTQOMWpjY8B4BhGEOBdOAzjYLUEsMw3jJNc2NzJy0vr2l9a1tgZekKFr13PwT9sOPz7DiUzz0/HIOvLEgwEAlvLa3ldOpUmzSz09LefO5Tn7pL/ek+9am71J/ua48+vVxYa0mYWgsMNwwjqWGqbzbwlGEYfYGAaZqHgPtCBxuG8a/AsngtQH9i0+POg52fhv/9tfPYV0vCkCL+z/W5quUkIiIirrpimDJNs8YwjK8CTxqGUQZsN03zfcMwfgKcAX4MYBhGJs6aKYCHDcN42jTNI23V8OaUlO9yHuS+Bn9TAOl7oX8hgUSbf3vgTHs3R0RERLq4Fi0EMk3zPeC9i557+KKvy4AfNdziJic9l+IzRZBwAca/2uj5vDi2SkRERLqqLrfb20PTll7y+cVTl7RzS0RERKQ76HKXqC3MLgBg+eZllJTvIic9l8VTl4SfFxEREXFTlwtT4ASqhdkFumJCRERE2lyXm+YTERERaU8KUyIiIiIxUJgSERERiYHClIiIiEgMFKZEREREYqAwJSIiIhIDhSkRERGRGChMiYiIiMRAYUpEREQkBh7btuPdBhEREZFOSyNTIiIiIjFQmBIRERGJgcKUiIiISAwUpkRERERioDAlIiIiEgOFKREREZEYKEyJiIiIxEBhSkRERCQGClMiIiIiMVCYEhEREYmBwpSIiIhIDBSmRERERGKgMCUiIiISA4UpERERkRgoTImIiIjEQGFKREREJAYKUyIiIiIxUJgSERERiYHClIiIiEgMFKZEREREYqAwJSIiIhIDhSkRERGRGPjj9cJlZefstn6N9PRkystr2vpluhX1qfvUp+5Sf7pPfeou9af72qNPMzNTPM19r0uPTPn9vng3octRn7pPfeou9af71KfuUn+6L9592uqRKcMwsoAfAZNM07ym4blEYClQDYwDTpum+aibDRXpaioqVlBW9jhFRbtISsolM3MpffoUxLtZIiLSSlczzTcHeA2Y3Oi57wAfmKb5IYBhGBNdaJtIl1VRsYLDh+8Pf11bWxT+WoFKRKRz8dh265cuGYaxAPipaZrTG74uBn4MpAP9gP8wTfPk5c4RCATteA/LibSnQABKSmDrVnj77ecpLh7MoUMGSUnn6d27nN69z5KWBqNG3UJ6OqSlObfmHickxPsdiYh0K82umXJrAfoIwDZN8wnDMG4EXgEWXO4H2mPxXWZmCmVl59r8dboT9WnLVFVBcbGXHTt8FBV5KSz0UVzs5cKF0P+L9wGQkXGYqqo0jh0bSSCQ2KrXSE626dPHuaWm2qSlQWpq5LnI9yAtrfFxNikp4O2iKyb1GXWf+tRd6k/3tUefZmamNPs9t8JUJfBxw+NVwFzDMHymaQZdOr9Ih3XihCccmHbscO737vVg25E/YhISbHJzLfLyLPLygqSlLWLYsNfo3bsCANuGuroe1NXNJD39DSoqoLLSw9mzHioqPOHHlZVQUeGJup044aWkBCyr2T+amvB4nECVlmaHA9jFgazx9/r0ISq49eoFnpa/nIhIl+ZWmHofGAWYwHBgj4KUdDXBIOzb54kKTYWFXsrKood4+vSxmTUrSF6exfjxzn1OjkVio4GniooFHD783+GvPR5ISrrA6NH/hz59rFa3zbKgurpp0KqoiDxXWdn0uYoKD/v3e6mqal0y8vujR72ajogRHgVrPCKWmur0T1JSq9/iFWlBv4jEy9VczTcfuBcYaBjG94DHgb8HfmAYxmRgLPAFV1sp0s5qamDXrujRpuJiLzU10aFjyBCLW26pbxhxckadhg61rzhqE/olX1a2jLq6XSQm5pKZueSqf/l7vZCSAikpNkOGtH4dZCAA587RMPrVNJBdbpTs+HEv58+3Loz17Nl4RCw6kEUec9F0ZSSQ+S5abqkF/SIST1e1AN0N7VG0U/PS7uuKfXrqlIfCQm/DzRlt2r3bGzVt5vfb5OREAlNo1Ck9PfbX7wp9euGCE7gqK5sPZI2/vniULBBoXRjr3Tt6GtLv/4Dk5EP07n2WAQMOMHnyXxk9ehs9e45nzJg1bfSuu4+u8BntSLp6f4ZGiWtr22+UuJ3WTLX5AnSRDs+yYP9+D0VFTmDascO5P348epqud2+bGTOCUcEpJ8eiR484NbwT6NEDevSw6d8foHV/J9m2MxJ4qfAVCl2RgBY9bXnkiJfiYrDtG5qcNyXlDJMmfcittyYwe3aQ3Fyryy66F+ko2mKUuKamhscf/1fWrVvD//2/P2TmzFkArFy5gj/+8S2WLv0OmZnTY298DBSmpEu6cAFMMzLStGOHl6IiH9XV0X9YDBxocfPNAfLygowf74Sn4cNt/dJtRx4P9OoFvXrZDBrU+gHrYBC2b7+ZM2eOce5cOvv25bFly3Vs27aAVavuYtUq57h+/Szy84PMnh1kzpwgOTmWFtGLuKys7PFmnl921WEqOTmZhx9+lDvvvJVBgwaFn+/Vqzdf+crXyM42ruq8blKYkk6vvJxwaArdl5R4CQYjvym9XmeaLhSYnGk6i4yM+Exzi3t8Phg16iskJt5PVtYBsrO3cvPNLzZ89xV27Pgkq1b5Wb3axxtvJPDGG06BrsxMi9mzQ+EqwKhRV17rJiKXV1u7q1XPt1RSUg9uvvkWXnttJd/4xrcA2LJlE7fcchuPPfYDxo/Ppbi4hAce+AZpaWl8/PFaVq78Hbm54ygrO0lRUSEPPfRt/P4Efve735CTk0tpqXN8VlZWTG0DrZmSVopnn9o2HDzoCQemoiJnqu7IkehhpORkOyo05eU5Uzw9e8al2Vekz6k7nHUazS/ot21nmnf1aj+rVvlYvdrHiRORz05WlhUetZo9O8Dw4QpXIfqMuqsr9+fu3fnU1hY1eT4pKS/m9Yu7d5eyePEDrFz5NsePH2PVqg945ZXf8stf/ppx40bz61//ht27S/j617/FXXfdynPP/Q/9+mXwhz/8L9u3b+XRR7/Pnj276dmzJ4MGDeaDD/5MYeEOHnxwcYteX2umpNOpq3Om6UL1m0KjTpWV0Z/l/v0tbrghEBWcRoywm1ztJV1fnz4F9OlT0OwvKo8HRo60GTmyni98oR7bhj17POFRq9Wrfbz6agKvvuqMXA0ZEhq5CjB7tnOVpohcXmbm0qg1U5Hnl8R87jFjshk8eCh//euf2bdvD5/5zP/Hr371NO+88xarViVx7NhJvF4fFRVnuXDhAv36ZQAwaNBgtm/fCkBSUhKvvvoKaWlpHD16lECgPuZ2gcKUdAAVFYQXhYeCk2l6qa+PBCePx2b0aIsbbohM1Y0fbzFggH7BydXxeGDMGJsxY+q57z4nXJmml9Wrfaxa5WPtWh8vv5zAyy874WrYMIs5cwLh0auBA/XZE7lY47Ivkav5rr7sy8U+9amF/P73r5CTY5CWlkZaWhp33nk3o0cPZvfuQxQW7qBPnzSSkpI4deoUGRkZHD16JPzz//mfy5k3bwG33vpJ1q9fx3vvveNKuzTNJ60SS5/aNhw54okKTYWFPg4ejJ6m69nTZty4SMHLvLwgY8da9OrlxjvoePQ5dZdb/WlZzpZAkXDlp6IiEvBHjbKYPTvAnDlBZs0Kdulgr8+ou9SfV+/ChQvcddct/OhHP2H69Bns2LGNt956g5Ejh7Jv30E++9nPM2LESNauXc3vf/8K48dPoLq6moqKszzyyD/x17++z4oVLzN16nROnjxBSckuHn74UXJzx13xtS83zacwJa3S0j6tr4fS0kjtptB0XXl59GcxIyO6dlNensWoURb+bjRmqs+pu9qqP4NBKCryNqy38rN2rS+qcnxOTuRKwVmzgvTr13XClT6j7lJ/uu/iPi0s3M748RPweDy8/fYbnDhxnPvu+1Ksr6EwJbG5XBG2c+ecaTonMDmhadcuL7W10Z+7kSMtJkyIrt80YIAW+epz6q726s9AALZv94bXXH38sS+qQv7YsZFgNWtWwJUCr/Giz6i71J/uu7hPX3zxeU6fPk2/fv04cuQIDz64mN69e8f6GgpTcvVCRdhsG06fHkhp6RT27JnMkSNfwjSHs29f9DRdUpLN2LFWo9pNzpRdjJ/jLkufU3fFqz/r62HLFi+rVzvhasMGX3ibHY/HucI0VIYhPz9Iamq7N/Gq6TPqLvWn++JdAV1hSq5o+/bref31Gaxc+U0OHYoujpaebkddSZeXZzFmjEVCQpwa2wnpc+qujtKftbWwZYsvXIZh40ZfeLTW67WZODESrq69tmP/sdFR+rSrUH+6T2GqDekDG5vDhz0880wiv/51NVVV6SQkXGDGjHfIydnEmDFbGTOmkAULtnf7abpY6XPqro7an+fPw6ZNkXC1ebMvfMWqz2czeXLkasEZM4IkJ8e5wY101D7trNSf7ot3mOpGy3ylpTZu9PL004m88YafYNBDevo57rvvH/nUp35OenpZ+LikpDwFKZEW6tkT5sxx1lEBVFfDhg2+hqsF/Wzd6mXTpiSWL4eEBJupU4PhCu3Tpwc7bNFZEVGYkgaBALzxhp+nn05k0yan4uW4cUEeeKCO669/g7KyHzb5GTeKsIl0V716wYIFQRYsCAJ1VFXBxx/7GgqI+tmwwcfHH/tZtsxZhzhtWuRqwalTgyQlxfsdiEiIwlQ3V1EBL7yQwDPPJHLkiBePx+YTnwiwaFEds2cHG0ae7iYpybrsVh0iEpveveGGG4LccIMTriorYd06X/hqwbVrfaxZ4+ff/92pxTZ9emTrmylTtE5RJJ4UprqpvXs9/OIXibz0UgI1NR6Sk22++MU6vvzlOkaNarqc7UpbdYiIu1JT4eabg9x8szMtWF4OUzfgqwAAHt9JREFUa9f6w0VEP/rIz0cf+YEkkpNtrr02smnzxIndq1abSLzpf7duxLZh1Sofv/hFIu++68O2PQwebPHtb9fyhS/Uk5YW7xaKSHPS0+G22wLcdlsAgFOnPKxdG1nQ/pe/+PnLX5xw1bu3TX6+U99qzhznKlvtVynSdhSmuoHaWli50lkPVVTk/Is6bZqzHur22wP6C1akE8rIsLnjjgB33OGEqxMnPKxZE1lz9d57zg2gTx+b/PxAeEH7uHEWXu/lzi4iraFfo11YWZmH559P4LnnEjh1yovPZ3PXXfV85St1TJ9uxbt5IuKiAQNsFi4MsHBhAKjl2DFPQ7By1l29804C77zjLKzq29ciPz+05iqIYVi6MlckBgpTXdDOnV5+8YsEXn01gdpaD3362Hz967Xcf389Q4Z0nf3CRKR5AwfaFBQEKChwwtXhw57wvoKrV/t4880E3nzTCVcZGVZ41GrOnACjRzvbPIW2kSoqarqNlIhEKEx1EZYF77/v4+c/T2xYlOrsav/lL9fy2c/Wd+jqyiLS9oYMsfnc5wJ87nMBbBsOHPCwerU/vObqtdcSeO01J1wNGGAxY8Y+cnLWMGXKeQYPDlJbW8Thw/cDKFCJXERhqpOrroaXX07gl79MZM8eZxHE3LlOaYMbbwxqXYSINOHxwIgRNiNG1PP5z9dj284VvqFRq1WrfPzhD6OBXwKQm7ueO+/8T66//mXKypYpTIlcRNvJdFJHjnh45pkEXnghkYoKD4mJNnffHeArX6kjL6/t1kN15T6NF/Wpu9SfsbNtePvtfLZsmce6dbezfv2t2LaX1NRT3Hbbcyxd+lWGD9eSgaulz6j74r2djMJUJ7N5s7PVy+uvO1u9ZGRY3HdfPffdV0///m3/37Ir9mm8qU/dpf50x+7d+dTWFgFw/PhwXn/9Ad5880tUVmbg8djcdFOQv/u7Oq67TiPgraXPqPsUptpQV/nABgLw1lt+fv7zRDZudEobjB3rlDZYuDBAjx7t15au0qcdifrUXepPd1RUrAivkQqpq0ti+/Z3eeml2eFtp0aMsLjvvjruuaee9PR4tLTz0WfUffEOU1oz1YFVVMCLLzpbvRw+7Pzpd/PNzlTe3LlBXcosIm0mtC6q8TZSQ4YsYcqUKfzt39awbZuXZ59NZOVKP9//fg9+/OMk7r67nvvvr2fiRJVeke5FI1Md0N69Hn71q0R+85vIVi+f/axTH2r06PiuU+isfdqRqU/dpf503+X69MwZeOmlBJ57LpEDB5w/+qZNc6YAP/Wp9h057yz0GXWfRqYEcBZ8rlnj4+mnE/jjH/3YtodBgyyWLq3jC1+o0/C5iHRIffvC/2vvzuOjLq++j38mmZlsILUQV6hosRdWRSNGQaxIFeSxQL1F3FiEyC0gqCxKweWOVAvUKrhRLGDABa0FXFCqKAqIKCIUW/WGo9TdRysuRJksM0nm+eM3aJ6YREiGTGbyfb9evEh+M/Obk5Pld+a6zlzX5ZdHGD06wurV6RQVBVm1Kp3Nm7MoLKxi8OAIl1wSoUMHNaxL6lIxlWC7t3qZNy/Im296PQgnnFDJqFFh+vWr0E7wIpIU0tLgjDMqOeOMUt5/38d993mj63femcHddwfp06eCESMi9OyphnVJPSqmEuSLL77f6mXHjjTS0qIMGBBh1Kgw+fnqNxCR5NWxY5TCwnImTy7niSf8LFwY/G47myOOqGLEiDAXXKDN1SV16PVBE9u6NY0JEzLIy8vhllsyKC/3cfnlYV57LcSCBWUqpEQkZWRlwYUXVrByZQkrV4a44IIIn3zi44YbMjnuuFZMnJjBG2/oMiTJTyNTTaCqCl54wdvq5cUXvZQffngVl12mrV5EpGXIy6virrvKuPFGHw8/7GfRoiAPPuj9y8+vpKDAa23IyEh0pCJ7b6+LKefcQcDNwHFmll/jtuuB8WbWLk7xJbVQCP72twDz5wfYvt3rh+rRw9vqpXfvStLTExygiEgTa9s2yrhxEcaMifDCC17D+gsvpPPaa1nccEMVQ4Z4DeuHHqqGdUkeDRmZOhV4Aji++kHn3OmA3nMGfPqpt9XL/fcH2bnT2+pl99IGxx6raTwRkfR06N27kt69S3nvPR+LFgV5+OEAt9+ewZ13BjnrrAoKCiKcdprW1JPmb68nq81sKfD/LebgnDsQuBC4K05xJaUtW9IYPTqTrl1zuPPODPz+KJMmlbN5c4i77ipTISUiUovDD48ybVo5r7++izvuKOXYY6t4+ukAgwZl06NHNvPnB/jmm0RHKVK3Bi3aGRuFutXMTnTOpeFtLX410AbYtCfTfBUVlVG/P/nnuSoq4PHHYfZsePll79gxx8D48TB4MFqwTkRkL0WjsHEjzJkDjzwC4TBkZ8OQITB2LHTpkugIpYWK7958NYqpE4GRwPt403zjgJuAZWb2Tl3nSPYV0L/5BhYvDrBgQZCPPvIG+M480+uHSuVhaa3cG3/KaXwpn/GXyJx+8YWPhx4KcN99ge/+1p58sjcF+JvfVBAMJiSsRtHPaPwl/QroZrYJ2ATgnOsIXGpmMxt73ubqvfe+3+olFPKRlRVl+PAw//3fEY48UtN4IiLx1K5dlCuvDDN2bJhVq7yG9dWr/bz6qp/c3CqGDo0wbFiEQw5Rw7okzl73TDnnegJDgYOdc9c757JixzvhjUplxY7nxDfUxNm91csll2TSrVsO8+cH2W+/KNdf783x33JLuQopEZF9KD0dzjqrkkceKWXDhl2MGhUmHPYxa1YGXbvmMGJEJuvWpZOg7WalhdNGx/UIh7/f6uWNN7z+rrw8b6uX/v1b5lYvGp6OP+U0vpTP+GuuOS0pgUcfDVBUFPhuO65f/KKSESMinH9+hNatExxgHZprPpNZoqf5tPRsLb780sesWUFOOCGHK67I4q230ujfP8KTT5bwzDMlnHtuyyykRESaE68pPcLzz5ewYkWIgQMjvP9+GlOnZtKlSysmT85g61Zd5mTf0wro1Wzblsa8eQGWLg1QVuajdesoo0eHGTkyzM9+prFjEZHmyOeD/Pwq8vPL+P3vfSxe7DWsL1oUZNGiIN27ew3rZ5+tF8Kyb7T4YqqqClav9rZ6WbvWS8dhh3lbvVx0kbZ6ERFJJrm5UcaPDzNuXJhnn/WzcGGAtWv9vPKKnwMP/L5h/aCD9AJZ4qfFFlMlJbBkSYB58wK88443137KKRWMGhWhT58KbfUiIpLE/H44++wKzj67gu3bvRXW//rXALfemsHs2UHOPtsbrTrllNRdykaaTosrpj791EdRkbfVy9df+wgEogwaFGHUqDBduugdeSIiqaZTpyg331zO1KnlLFvmNaw/+aT3r3PnSoYP9xrWNRMhDZWS7+YrLl7Kjh23UV6+jYyMzuTmTuK9987nL38J8sQTfioqfLRtW8Ull0QYMSLCgQdquHdP6V0o8aecxpfyGX+pllNvhfV0Fi4M8OSTfiIRH61aRTn/fO+a4Ny+fWGdavlsDhL9br6UG5kqLl7Kxx8XAFBZmcZzz/2CpUs78cYb3rJXzlUyalSEgQMjZGUlMlIREUkEnw9OPrmSk0+uZNo0r2H9/vsDFBUFKSoKcuqpFYwYEaFvXzWsy55JuWJqx47bAPjwQ8eUKX/n00+PAKB793WMH9+V00/X/LiIiHgOPDDKxIlhrrwyzDPPeA3r69b5eeklPwcdVMWwYRGGDtUMhtQv5RbgKC/fBkBxcTvC4Uz697+HRYuOYvr0X9OrlwopERH5Ib8f+vWrYNmyUtavDzFyZJhQyMctt2SQl5fDZZdlsmGDVliX2qVcz9T27d0pL3/rB8czMo6hU6eX98VTtiia648/5TS+lM/4a6k53bULli4NsHBhgK1bvbd4H3VUJQUFXqtIQxvWW2o+96VE90yl3MhUbu6kOo5PbOJIREQkmbVqBcOHR1izpoQnnijhnHMivPNOGtdck8lxx7Xi2mszeOedlLuMSgOk3E9Bmzbn0b59ERkZx+Dz+cnIOIb27Yto0+a8RIcmIiJJyOeD7t0rmTevjC1bQkyeXE5OTpQFC4L06JHDwIFZrFjhp6Ii0ZFKoqTcNF91GkqNP+U0/pTT+FI+4085/aFIBJ55xk9RUYD16733ch16qNewPnhwhAMOqPsSp3zGn6b5REREkkwgAP37V/DYY6W8+GKIgoIwO3f6mDHDa1gfPTqTV19Vw3pLoWJKRESkETp3rmLmzHLeeGMXM2eWccQRVTz6aID+/bP59a+zeeCBAKGQtw7i9u3dWbPGz/bt3SkuXpro0CVOVEyJiIjEQatWUFAQ4cUXS3jssRIGDIiwbVsakyZl0qVLkKlTd7J9exiopLz8LT7+uEAFVYpQMSUiIhJHPh/06FHJggVew/rVV5eTkVHM0qUTGDbsbSZPfpp//KMX0Sjs2DEr0eFKHKTcCugiIiLNxUEHRZk8OcxZZ/2MdesG8PjjY3nttb689lpfOnfeyEUX/YkjjoA0DW0kNX37RERE9rGcnE706rWEO+44nblz8znttKWYnUhh4RJOPTWbhx7yEw4nOkppKBVTIiIi+1j1BaU7d97EtGmDWLToKAYNepsPPkhj/Pgs8vNzmDs3wK5dCQxUGkTFlIiIyD5W24LSp5wyhTlzDmbTphBjxoQpLvZRWJjJCSe0YubMIF98oc1kk4UW7ZS9opzGn3IaX8pn/Cmn8VVXPr/+GhYuDDJ/foAvv0wjKyvK4MERxowJ06GDFqyqjxbtFBEREfbfHyZODLN5c4gZM8po29bbsuakk3IYOzaTrVt1yW6u9J0RERFpRrKz4dJLI7z6aog5c0o58sgqliwJ0LNnDkOHZrFxoy7dzY2+IyIiIs1QIACDBlWwZk0JDz5YQn5+JStX+unXL4cBA7JYtUrb1TQXKqZERESasbQ06NOnkhUrSli+vITevSvYsMHPxRdn06tXNsuW+amoSHSULZuKKRERkSTRrVslixeXsnp1iIEDI5ilMWZMFt265VBUFKC0NNERtkwqpkRERJLM0UdXMXduGRs2hCgoCPP55z6mTMmka9ccbr89SHFxoiNsWVRMiYiIJKnDDosyc2Y5mzeHmDChnHDYx/TpGeTltWLatAw++0xrVTUFFVMiIiJJLjc3ytSpYbZs2UVhYRk5OVHmzAly4ok5TJqUwbvvqqjal1RMiYiIpIjWrWHs2AibNoWYNauM9u2jPPBAkO7dcxg5MpN//lOX/X1BWRUREUkxGRkwZEiE9etD3HtvKV26VLF8eYDevXMYNCiLdeu0rEI8qZgSERFJUenp0L9/Bc8+W8KSJSX86lcVrF3rZ+DAbPr2zeapp/xUVSU6yuTn39sHOOcOAm4GjjOz/Nix2UAJsAs4DhhvZp/FM1ARERFpGJ8PevaspGfPUrZsSeOuu4KsWOGnoCCLTp0qGTcuzHnnVRAMJjrS5NSQkalTgSeA6t1sITO7zsxmAFuA6+IRnIiIiMRXXl4VRUVlrF8fYvDgMB98kMb48Vnk5+cwd26AXbsSHWHy8UUbMGnqnDsduNXMTqzltqnAfmY2tb5zVFRURv3+9L1+bhEREYmfTz6B2bPhnnsgFPI2XB43Dq64AnJzEx1ds1LnWyLjWkw5534CPAYMNLOv6jvHjh3f7vPWt9zc1uzY8e2+fpoWRTmNP+U0vpTP+FNO46u55vPrr2HhwiDz5wf48ss0srKiDB4cYcyYMB06NO9u9abIaW5u6zqLqbg1oDvn2gB/Bgp+rJASERGR5mX//WHixDCbN4eYMaOMtm2jLFgQ5KSTchg7NpOtW/WetbrEJTPOuXbAHOAaM3vPOTcwHucVERGRppWdDZdeGuHVV0PMmVPKkUdWsWRJgJ49cxg6NIuNG1VU1bTXGXHO9QSGAgc75653zmUBzwJdgMXOuTXA8HgGKSIiIk0rEIBBgypYs6aEBx8sIT+/kpUr/fTrl8OAAVmsWqW1qnbb66URzGwtsLbG4RPiE46IiIg0J2lp0KdPJX36lLBhQzp33RXkuef8bNjg56ijKrnyyjC//W0F/r2uKFKHxupERERkj3TrVsnixaWsXh1i4MAIb7+dxpgxWXTrlkNRUYDS0kRHmBgqpkRERGSvHH10FXPnlrFhQ4iCgjCff+5jypRMunbN4fbbgxQXJzrCpqViSkRERBrksMOizJxZzubNISZMKCcc9jF9egZ5ea2YNi2Dzz6rczWBlKJiSkRERBolNzfK1KlhtmzZRWFhGTk5UebMCXLiiTlMmpTBu++mdlGlYkpERETionVrGDs2wqZNIWbNKqN9+ygPPBCke/ccRo7M5J//TM2yIzW/KhEREUmYjAwYMiTC+vUh7r23lC5dqli+PEDv3jkMGpTFunWptayCiikRERHZJ9LToX//Cp59toQlS0r41a8qWLvWz8CB2fTtm81TT/mpqkp0lI2nYkpERET2KZ8PevasZNmyUlauDNGvX4TXX0+joCCLU0/N5qGH/ITDiY6y4VRMiYiISJPJy6uiqKiM9etDDB4c5oMP0hg/Pov8/Bzmzg2wa1eiI9x7KqZERESkyXXqFGX27HI2bQoxZkyY4mIfhYWZnHBCK2bODPLFF8nzDkAVUyIiIpIwBx8cZdq0crZs2cWUKeWkp0eZNSuDrl1zuPbaDD76qPkXVSqmREREJOH23x8mTgyzeXOIGTPKaNcuyoIFQU46KYexYzPZurX5lizNNzIRERFpcbKz4dJLI2zYEGLOnFKOPLKKJUsC9OyZw9ChWWzc2PxKl+YXkYiIiLR4gQAMGlTBmjUlPPhgCfn5laxc6adfvxwGDMhi1ap0du5cyvbt3Vmzxs/27d0pLl6akFhVTImIiEizlZYGffpUsmJFCcuXl9C7dwUbNvi5+OJs+vbtyooVXaisjFJe/hYff1yQkIJKxZSIiIgkhW7dKlm8uJTVq0P06fMU77//S/7wh4dYtmz8d/fZsWNWk8flb/JnFBEREWmEo4+uYurUcxg+vAPPPTeEk0/++3e3lZdva/J4VEyJiIhI0snI6MzBB7/FsGE3/+B4U9M0n4iIiCSd3NxJdRyf2MSRaGRKREREklCbNucBXo9UOLyNYLAzubkTvzvelFRMiYiISFJq0+Y82rQ5j9zc1uzY8W3C4vBFo9GEPbmIiIhIslPPlIiIiEgjqJgSERERaQQVUyIiIiKNoGJKREREpBFUTImIiIg0goopERERkUZQMSUiIiLSCCmzaKdzLg14EngVCAI/BwrMrDR2+/XAeDNrl7gok0dd+QQqgUlACPgl8KWZXZeoOJNJPTn9JTAF2AScDPzJzF5JVJzJxjmXhZfTZ83saufcT4GZwLvAkcC1ZvafRMaYbGrJ6WygBNgFHIf3t/SzRMaYTGrms9pxXZcaqJaf0SAJvDalTDEV84qZ3QzgnHsCOBdY7Jw7Hdg/kYElqdryeQSw1sxejB3vksD4klFtOR0CzDOzx5xz/wX8HuidwBiTzc3AlmqfTwdWmdnfnHP9gVuBoQmJLHnVzGnIzK4HcM79DrgOuCIRgSWpmvlE16VGq5nT35HAa1PKFFNmVoWXXJxzfqA9YM65A4EL8V6pXpK4CJNLXfkErgc+dM6dALQF7kpYkEmmnpz+B8iN3S0X2JyQAJOQc24osB7oArSKHf4N8IfYx+uB+xIQWtKqLae7C6mYNLwRKtkDteVT16XGqeP3/mISeG1KuZ4p59xZwFOxf//Ae5U6NaFBJbHq+TSzTUBHIGpmtwNrgb8lMLykVEtOrweGOeduxfvDuiSR8SUL59wvgaPM7NEaNx0A7N6k6xtg/1jxKj+inpzuvv0nQB/gT00aWJKqLZ+x6X5dlxqonp/RjiTw2pSye/M55+4HtgOHAO/jDaeOA24ClpnZO4mLLvnE8rkBKAROMzNzzmXizU8HzawyoQEmoWo5HQmMNbNXnHPHAquAg8wsNX8548Q5dx2QDoSBM/H60B7F65s4xcw+ivVPbTeznyYu0uRRV07N7HbnXBtgLnCdmb2XwDCTRh35XA50QtelBqnn934qCbw2pcyrtVi1eriZrYgdeg/Yz8xGx27vCFxqZjMTFGJSqSOfRwDPx/434DDg3yqk9kw9Oe0AfBo79imQkYDwko6Z7Z7KI/bHs1Xsot8Z6A58BPQAVtRxCqmhnpy2A24HrjGzT5xzA81sWcICTRJ15PPWasc6ouvSXqnnZ/QkEnhtSpmRKefcz/GGnv8BBICjgCvN7DPnXCdgNDAGmAHMNrNQwoJNAnXlE+8VwTTg37Fjd5vZxkTFmUzqyWl34HzgX3jvQnnUzB5LVJzJxjk3EBiL9wp1DrAS+CPwAd47Jqfo3Xx7p5acXoP34vur2F2+NbP+CQov6dTMp5k9rOtS49TyM/oiCbw2pUwxJSIiIpIIKdeALiIiItKUVEyJiIiINIKKKREREZFGUDElIiIi0ggqpkREREQaIWXWmRJpSZxzLwGjzezNH7lfP+BCMxsS+/x94HQzez/2+eVAezO7tp5z/Ay4G2/dttPjEHseMAv4wMyGN/Z8e/icD+BtgXIoUGhmW37kIXtz7ixgAdDDzDo24PGX462Cf7GZrannfu2AlwGnBV1FmheNTIkkp4uB/92D+z2Ht0ZQXR4AbqvvBGb2IV7xExexQqbJ9stzzh0K9DKzMXjree1J3vaYmZXibfzb0Mf/GXh7D+73BdBHhZRI86ORKZEkE1us7mbgj865JXiLVLYH7gfOwBuB6Yf3+30P0BPo6Jy7CvgpMM05txO4BW/EaX/g9Njmq/cCb+FtFLrJzO75kVgGAPOBV4ChwEl4W47circR6Qy84uUQ4LHaFiN1zt0EXG9mPufc8cA84O9mdmPs9iuBXwClwE+ACWb2g412Y1/f8cDXQA4wEajC2wdtP+fc3bEYnq/2mGGxGAcDrwEPAvub2enOuXNjX8fq2PmOB27fnRPn3HnAeGAb8GGNWHrh7bP4Kd6eYYVm9rZz7nHgt8DleIVdFzNrW+1x/WL53BTL5/HAX/BWH28DXOuc6xLL53y81Z6/BfKA5bs3JHbOnRb7uv8Xb6X96cAsM5tUM28i0ngamRJJMrFtPF6NfRwChuBNXz1oZj2A1sCvYyMmhdUedwfeCtaFZnaVmX0C3FHt1FXAbWb2OzMbCVzunDvkR2JZjjfF9baZfYtXQL1kZvOACuB/zGwKcClwZ20bDpvZDdU+fh34++7PnXNnAAPMbJyZXQP8B5hc8xzOuTOBYUCBmU2s9nXuzsFXsXM8X/1xZnY/8E61XN5R7bZH8QrUI4CLgAGxc+GcOwCvmBkUy9X/rRZLW2Ah3n6LU/EK1AWxc54Tu9tHZtYL+J8a8TyFt9v9x2a2E9gYy+fc2JYjX8Xu9zLeavrHAJfhbZszwTmX7ZwLAg8DV5nZZXhFIiqkRPYdjUyJpIYvzGz3VNG/gQMbcI5v8EaoLgJK8Eaxfk61QqEORcBLzrlrgYF4m46CV/jc4Jy7DG9T0jbAwXh75u2p/wO0c87tHiFrx/f7GNa83yvVpsDWAzOppfBqgA1mFnXOVc9rN+ATM9sdy7pq9+8OZAO3OefA22sxvcY5nwMwszm1PN8CYKtz7nfABcBD9cS22czKgXLn3Fd4+fkJ0MbMNtcSm4jsAyqmRFJDebWPK2nYqPNEIM/MBgDEptxqFgE/YGb/ds5tA36DV9RcErvpj0DYzC6Pne+c+s7nnEszsyq8fQsjscM+vCJpTOw+PrxCpTbVe4l8NT6vT5Tv8xWo5fZyADOrjD3/j53fB3y5e5P1WNytqt8hVgDVysw+d849AwwHupvZ/Hpir+37vjdfu4jEgab5RFqWMiDdOXemc659jdvaEptGcs6l4fVh7al78aas3qu2U3tb4MvY+bJjn9flM7xRK/D6hHZ7GuhVbXrwHLw+pZqeBnpUK3ZOiR3bE3U9d31eATo453Y/7tRqt70MHOCc6wgQ60V7ZA/Pu9ufgRtjz7O3tgHfOOdOrCU2EdkHtNGxSJKp1oD+Cd5o0iTgv4ApeA3Jd8dumwBcHbttupnNdM4V4hUMPrwd1+/Gaxq/Ea+R/a94PURf4jVK/wu4Cq+X6CTgxtpGSmLLA3wCnGhm78aO5eH1FW3Ga4ofDjwFzMZr7D4Ur/F8mXNuLHAuXi/YgcCxwGQzW+OcG49XHH0EZAKTzKyslhjG4zViF8fuNwGvD+yeWA7ux+vh+qrG47rjvVvxZWAnMDqWjzf5vodqNNAX+APwezMrrNaA/q/Y48YBM81seqzX6ypgO16D/01m9u7uZnu8Xe5vMrP/OOdGAzfg9UeNi/Wy4ZzbgreMRXHs8ynAtcBjsXhvi+XwSrzp2FvwGuwvqdaA/mbs+znDzII1cyYi8aFiSkSkmXDOZeL1qlXiFZpXNPA8fYFnzazKOXc0sNDMTopjqCJSjXqmRESaj7bAE3hLLUxsxHnygYudczuADsDIOMQmInXQyJSIiIhII6gBXURERKQRVEyJiIiINIKKKREREZFGUDElIiIi0ggqpkREREQa4f8BEr0JGGBMatIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x504 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_option_stats(s_list, p_list, d_list, v_list)\n",
    "# plt.savefig('../../images/ch19/dx_val_01.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {
    "uuid": "2d5ca812-5448-47fe-9fd3-af2ab7eca13e"
   },
   "outputs": [],
   "source": [
    "payoff_func = 'np.maximum(0.33 * (maturity_value + max_value) - 40, 0)'  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {
    "uuid": "62c9340d-a2a3-477e-b640-389d81c3b8a1"
   },
   "outputs": [],
   "source": [
    "eur_as_call = valuation_mcs_european('eur_as_call', underlying=gbm,\n",
    "                            mar_env=me_call, payoff_func=payoff_func)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {
    "uuid": "50f5cf9a-d2c7-4e69-9361-e3bf8678c4a3"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 130 ms, sys: 3.61 ms, total: 133 ms\n",
      "Wall time: 132 ms\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "s_list = np.arange(34., 46.1, 2.)\n",
    "p_list = []; d_list = []; v_list = []\n",
    "for s in s_list:\n",
    "    eur_as_call.update(s)\n",
    "    p_list.append(eur_as_call.present_value(fixed_seed=True))\n",
    "    d_list.append(eur_as_call.delta())\n",
    "    v_list.append(eur_as_call.vega())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {
    "uuid": "a4602156-ade5-49fe-97c8-3088dc47944c"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x504 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_option_stats(s_list, p_list, d_list, v_list)\n",
    "# plt.savefig('../../images/ch19/dx_val_02.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### American Options"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {
    "uuid": "81d66ea7-15df-429a-9f87-fc2f2c881726"
   },
   "outputs": [],
   "source": [
    "me_gbm = market_environment('me_gbm', dt.datetime(2020, 1, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {
    "uuid": "f822430b-6875-4b81-9c15-4684eea1225c"
   },
   "outputs": [],
   "source": [
    "me_gbm.add_constant('initial_value', 36.)\n",
    "me_gbm.add_constant('volatility', 0.2)\n",
    "me_gbm.add_constant('final_date', dt.datetime(2021, 12, 31))\n",
    "me_gbm.add_constant('currency', 'EUR')\n",
    "me_gbm.add_constant('frequency', 'W')\n",
    "me_gbm.add_constant('paths', 50000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {
    "uuid": "ed806c52-2dc7-4dec-a8dc-8e0d99e18a3c"
   },
   "outputs": [],
   "source": [
    "csr = constant_short_rate('csr', 0.06)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {
    "uuid": "78738a9b-8f75-4710-b31d-415cdade6bb8"
   },
   "outputs": [],
   "source": [
    "me_gbm.add_curve('discount_curve', csr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {
    "uuid": "4b0692ba-91f6-4d19-adfd-d4b31590542b"
   },
   "outputs": [],
   "source": [
    "gbm = geometric_brownian_motion('gbm', me_gbm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {
    "uuid": "ab695214-a424-4ead-9c96-ef75a8f52ed0"
   },
   "outputs": [],
   "source": [
    "payoff_func = 'np.maximum(strike - instrument_values, 0)'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {
    "uuid": "558b7076-4cc6-4e45-9e04-395eb3ba8aac"
   },
   "outputs": [],
   "source": [
    "me_am_put = market_environment('me_am_put', dt.datetime(2020, 1, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {
    "uuid": "783eb5ab-6dd6-4561-9614-aedb4247d6ab"
   },
   "outputs": [],
   "source": [
    "me_am_put.add_constant('maturity', dt.datetime(2020, 12, 31))\n",
    "me_am_put.add_constant('strike', 40.)\n",
    "me_am_put.add_constant('currency', 'EUR')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {
    "uuid": "dd6bc5f2-ed01-4877-a7da-dee5d9bd9c45"
   },
   "outputs": [],
   "source": [
    "from valuation_mcs_american import valuation_mcs_american"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {
    "uuid": "a43bc735-e35e-4621-9185-5d9d415b0efd"
   },
   "outputs": [],
   "source": [
    "am_put = valuation_mcs_american('am_put', underlying=gbm,\n",
    "                    mar_env=me_am_put, payoff_func=payoff_func)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {
    "uuid": "eeb5de5d-f95b-4acd-bbab-2eae998d8f46"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 3.03 s, sys: 471 ms, total: 3.5 s\n",
      "Wall time: 782 ms\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "4.646023"
      ]
     },
     "execution_count": 94,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%time am_put.present_value(fixed_seed=True, bf=5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {
    "uuid": "671c9254-1fa5-432c-accb-4d0610abd910"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 2min 2s, sys: 15.4 s, total: 2min 18s\n",
      "Wall time: 22 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "ls_table = []\n",
    "for initial_value in (36., 38., 40., 42., 44.): \n",
    "    for volatility in (0.2, 0.4):\n",
    "        for maturity in (dt.datetime(2020, 12, 31),\n",
    "                         dt.datetime(2021, 12, 31)):\n",
    "            am_put.update(initial_value=initial_value,\n",
    "                          volatility=volatility,\n",
    "                          maturity=maturity)\n",
    "            ls_table.append([initial_value,\n",
    "                             volatility,\n",
    "                             maturity,\n",
    "                             am_put.present_value(bf=5)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {
    "uuid": "125e9a02-1db7-4fdd-bdd8-6f0f522281d3"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "S0  | Vola | T | Value\n",
      "----------------------\n",
      "36  | 0.2  | 1 | 4.624\n",
      "36  | 0.2  | 2 | 5.160\n",
      "36  | 0.4  | 1 | 7.500\n",
      "36  | 0.4  | 2 | 9.594\n",
      "38  | 0.2  | 1 | 3.382\n",
      "38  | 0.2  | 2 | 4.057\n",
      "38  | 0.4  | 1 | 6.515\n",
      "38  | 0.4  | 2 | 8.651\n",
      "40  | 0.2  | 1 | 2.431\n",
      "40  | 0.2  | 2 | 3.150\n",
      "40  | 0.4  | 1 | 5.639\n",
      "40  | 0.4  | 2 | 7.814\n",
      "42  | 0.2  | 1 | 1.679\n",
      "42  | 0.2  | 2 | 2.401\n",
      "42  | 0.4  | 1 | 4.831\n",
      "42  | 0.4  | 2 | 7.051\n",
      "44  | 0.2  | 1 | 1.147\n",
      "44  | 0.2  | 2 | 1.873\n",
      "44  | 0.4  | 1 | 4.177\n",
      "44  | 0.4  | 2 | 6.427\n"
     ]
    }
   ],
   "source": [
    "print('S0  | Vola | T | Value')\n",
    "print(22 * '-')\n",
    "for r in ls_table:\n",
    "    print('%d  | %3.1f  | %d | %5.3f' % \n",
    "          (r[0], r[1], r[2].year - 2019, r[3]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {
    "uuid": "481d5438-d32b-40a2-aa8c-687b19138e29"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-0.4609"
      ]
     },
     "execution_count": 97,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "am_put.update(initial_value=36.)\n",
    "am_put.delta()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {
    "uuid": "84cf9547-c8b3-4205-81e5-8949ae798394"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "23.3117"
      ]
     },
     "execution_count": 98,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "am_put.vega()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Portfolios"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Position"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {
    "uuid": "e826f896-6999-4007-b0b2-c46750e0afc4"
   },
   "outputs": [],
   "source": [
    "from dx_valuation import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {
    "uuid": "636c1eae-142b-447f-a137-d36d81e4626b"
   },
   "outputs": [],
   "source": [
    "me_gbm = market_environment('me_gbm', dt.datetime(2020, 1, 1))  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {
    "uuid": "6e3324f6-21ee-46f4-b330-205ab3766f1f"
   },
   "outputs": [],
   "source": [
    "me_gbm.add_constant('initial_value', 36.)  \n",
    "me_gbm.add_constant('volatility', 0.2)  \n",
    "me_gbm.add_constant('currency', 'EUR')  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {
    "uuid": "4133fd96-79aa-4df7-8dbb-328561e2267c"
   },
   "outputs": [],
   "source": [
    "me_gbm.add_constant('model', 'gbm')  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {
    "uuid": "552c207a-7c7d-4809-a5ee-64c11d7604a3"
   },
   "outputs": [],
   "source": [
    "from derivatives_position import derivatives_position"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {
    "uuid": "d2cd3a35-f2a9-470c-a705-299172dd8887"
   },
   "outputs": [],
   "source": [
    "me_am_put = market_environment('me_am_put', dt.datetime(2020, 1, 1))  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {
    "uuid": "f3bd69f3-c361-44ce-9cad-3584366b459f"
   },
   "outputs": [],
   "source": [
    "me_am_put.add_constant('maturity', dt.datetime(2020, 12, 31))  \n",
    "me_am_put.add_constant('strike', 40.)  \n",
    "me_am_put.add_constant('currency', 'EUR')   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {
    "uuid": "70aa8500-9a8a-4d54-951e-ac820eaff24d"
   },
   "outputs": [],
   "source": [
    "payoff_func = 'np.maximum(strike - instrument_values, 0)'  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {
    "uuid": "ce2244bd-c4c0-4386-a518-06c3373a96b1"
   },
   "outputs": [],
   "source": [
    "am_put_pos = derivatives_position(\n",
    "             name='am_put_pos',\n",
    "             quantity=3,\n",
    "             underlying='gbm',\n",
    "             mar_env=me_am_put,\n",
    "             otype='American',\n",
    "             payoff_func=payoff_func)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {
    "uuid": "9bb959eb-6ce0-48eb-9f1f-bf64eee505fe"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "NAME\n",
      "am_put_pos \n",
      "\n",
      "QUANTITY\n",
      "3 \n",
      "\n",
      "UNDERLYING\n",
      "gbm \n",
      "\n",
      "MARKET ENVIRONMENT\n",
      "\n",
      "**Constants**\n",
      "maturity 2020-12-31 00:00:00\n",
      "strike 40.0\n",
      "currency EUR\n",
      "\n",
      "**Lists**\n",
      "\n",
      "**Curves**\n",
      "\n",
      "OPTION TYPE\n",
      "American \n",
      "\n",
      "PAYOFF FUNCTION\n",
      "np.maximum(strike - instrument_values, 0)\n"
     ]
    }
   ],
   "source": [
    "am_put_pos.get_info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Portfolio"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {
    "uuid": "a7f7a55f-cf66-457a-ba2f-9c9f15697d98"
   },
   "outputs": [],
   "source": [
    "me_jd = market_environment('me_jd', me_gbm.pricing_date)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "metadata": {
    "uuid": "4c2da9df-820c-49bb-9da0-fa212aa8ac40"
   },
   "outputs": [],
   "source": [
    "# add jump diffusion specific parameters\n",
    "me_jd.add_constant('lambda', 0.3)\n",
    "me_jd.add_constant('mu', -0.75)\n",
    "me_jd.add_constant('delta', 0.1)\n",
    "# add other parameters from gbm\n",
    "me_jd.add_environment(me_gbm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "metadata": {
    "uuid": "6f93e1aa-7ccb-4434-b79e-2357bb056fc9"
   },
   "outputs": [],
   "source": [
    "# needed for portfolio valuation\n",
    "me_jd.add_constant('model', 'jd')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "metadata": {
    "uuid": "178e550a-e040-4ac8-9ad8-e3bbf4fdc50d"
   },
   "outputs": [],
   "source": [
    "me_eur_call = market_environment('me_eur_call', me_jd.pricing_date)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "metadata": {
    "uuid": "08c13651-9fbf-44bf-b9a9-e94409a6e891"
   },
   "outputs": [],
   "source": [
    "me_eur_call.add_constant('maturity', dt.datetime(2020, 6, 30))\n",
    "me_eur_call.add_constant('strike', 38.)\n",
    "me_eur_call.add_constant('currency', 'EUR')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 114,
   "metadata": {
    "uuid": "c62a77e4-a502-4ceb-a5a3-9b3ec2be7d72"
   },
   "outputs": [],
   "source": [
    "payoff_func = 'np.maximum(maturity_value - strike, 0)'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 115,
   "metadata": {
    "uuid": "f1cb96fa-385a-41d6-b68d-1f80c9590370"
   },
   "outputs": [],
   "source": [
    "eur_call_pos = derivatives_position(\n",
    "             name='eur_call_pos',\n",
    "             quantity=5,\n",
    "             underlying='jd',\n",
    "             mar_env=me_eur_call,\n",
    "             otype='European',\n",
    "             payoff_func=payoff_func)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 116,
   "metadata": {
    "uuid": "e8df55ac-a860-4dd6-88f2-c4aa15e323f9"
   },
   "outputs": [],
   "source": [
    "underlyings = {'gbm': me_gbm, 'jd' : me_jd}  \n",
    "positions = {'am_put_pos' : am_put_pos,\n",
    "             'eur_call_pos' : eur_call_pos}  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "metadata": {
    "uuid": "38a7b06d-9923-4729-bbaf-184b55930d69"
   },
   "outputs": [],
   "source": [
    "csr = constant_short_rate('csr', 0.06)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "metadata": {
    "uuid": "d8ecc803-4ea8-45b4-975f-88e716a171e6"
   },
   "outputs": [],
   "source": [
    "val_env = market_environment('general', me_gbm.pricing_date)\n",
    "val_env.add_constant('frequency', 'W')\n",
    "val_env.add_constant('paths', 25000)\n",
    "val_env.add_constant('starting_date', val_env.pricing_date)\n",
    "val_env.add_constant('final_date', val_env.pricing_date)  \n",
    "val_env.add_curve('discount_curve', csr)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "metadata": {
    "uuid": "1f533a99-c881-4628-befe-ce63bbfdaafd"
   },
   "outputs": [],
   "source": [
    "from derivatives_portfolio import derivatives_portfolio"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "metadata": {
    "uuid": "7a231d26-ec5f-4b0f-8c2e-d5ee4b93f0c4"
   },
   "outputs": [],
   "source": [
    "portfolio = derivatives_portfolio(\n",
    "                name='portfolio',\n",
    "                positions=positions,\n",
    "                val_env=val_env,\n",
    "                assets=underlyings,\n",
    "                fixed_seed=False)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "metadata": {
    "uuid": "ec163641-6908-4fc8-bb75-95483021f1b4"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 13 s, sys: 1.38 s, total: 14.3 s\n",
      "Wall time: 2.54 s\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>name</th>\n",
       "      <th>quant.</th>\n",
       "      <th>value</th>\n",
       "      <th>curr.</th>\n",
       "      <th>pos_value</th>\n",
       "      <th>pos_delta</th>\n",
       "      <th>pos_vega</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>am_put_pos</td>\n",
       "      <td>3</td>\n",
       "      <td>4.621029</td>\n",
       "      <td>EUR</td>\n",
       "      <td>13.863087</td>\n",
       "      <td>-1.9383</td>\n",
       "      <td>42.3357</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>eur_call_pos</td>\n",
       "      <td>5</td>\n",
       "      <td>2.914060</td>\n",
       "      <td>EUR</td>\n",
       "      <td>14.570300</td>\n",
       "      <td>3.3510</td>\n",
       "      <td>43.5420</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           name  quant.     value curr.  pos_value  pos_delta  pos_vega\n",
       "0    am_put_pos       3  4.621029   EUR  13.863087    -1.9383   42.3357\n",
       "1  eur_call_pos       5  2.914060   EUR  14.570300     3.3510   43.5420"
      ]
     },
     "execution_count": 121,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%time portfolio.get_statistics(fixed_seed=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "metadata": {
    "uuid": "97aebfec-ec91-4d6b-af5f-ff36c5300122"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "pos_value    28.483829\n",
       "pos_delta     1.342500\n",
       "pos_vega     85.877700\n",
       "dtype: float64"
      ]
     },
     "execution_count": 122,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "portfolio.get_statistics(fixed_seed=False)[\n",
    "    ['pos_value', 'pos_delta', 'pos_vega']].sum()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "metadata": {
    "uuid": "2448b331-3d97-4358-a07b-453dc15659f8"
   },
   "outputs": [],
   "source": [
    "# portfolio.get_positions()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 124,
   "metadata": {
    "uuid": "aa0c765f-2e15-4e74-a46e-ed8e7c43e825"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4.637843"
      ]
     },
     "execution_count": 124,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "portfolio.valuation_objects['am_put_pos'].present_value()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "metadata": {
    "uuid": "ea398cfa-fb40-4ed8-b9bf-c067d135fe11"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.6711"
      ]
     },
     "execution_count": 125,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "portfolio.valuation_objects['eur_call_pos'].delta()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 126,
   "metadata": {
    "uuid": "f8a828ff-4fc9-40b4-8dee-f3b27035978b"
   },
   "outputs": [],
   "source": [
    "path_no = 888\n",
    "path_gbm = portfolio.underlying_objects[\n",
    "    'gbm'].get_instrument_values()[:, path_no]\n",
    "path_jd = portfolio.underlying_objects[\n",
    "    'jd'].get_instrument_values()[:, path_no]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 127,
   "metadata": {
    "uuid": "9cd814c6-2762-489a-b926-883a078f0142"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fb7d3d88910>"
      ]
     },
     "execution_count": 127,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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cLD9BkSTtGVnSnpEXjTZdtiz8tn9/E8nJRfPIkILyXO3eHUaNgh07kujVK9bVXFpBadOCJFZtmmWAcjgc1wK3OZ3O6Wc/VQ1IAVYDtwIHgdvOfnxJJ0+6c19pNslp15El7RlZ0p6RF402PX0ali5NpHJlHYfDRWpqRB++QChIz9W77lIYNSqROXOCNGsWv5P9C1KbFhTRbtNLhbPs9ECdBu51OBzlCfc0HQTmA2uB8Q6H4xrgamBo3ksVQojYW7HChMej0LWrP+6OYxEXu/pqnRo1QmzdauTvv6FEiVhXJIqCLAOU0+k8DLTL4KYTwEMRr0gIIWJs3jwTiqLTuXPhX31XWLRtG2TsWAtr16p06yZTcUX0yUaaQghxnv/9z8CePUYaNQpxxRUFZ0l/Ude6dTjsrlhRNOerifwnAUoIIc6zYEG4Y74o7P1UmFSqpFOrVoht24z88YeMu4rokwAlhBBnBYOwaJGJ4sV1mjWTYaCC5oEH/ASDCgMHWgmFYl2NKOwkQAkhxFlbthg5etRA+/YBrPF9lq7IQJcuQVq2DPDf/6q8+aY51uWIQk4ClBBCnDV/ftE5uqUwUhR4/XUv5ctrvPaamS+/lJc4ET3y7BJCCOD4cYX161Wuuy5EzZparMsRuVSyJEyd6kXXoX9/G6dPx7oiUVhJgBJCCGDpUpVAQKFbt4Ds/VTA3XpriMGD/Rw4YGDoUCu6LKYUUSABSgghCA/fqapOx44yebwwGDrUT506IZYvN51bWSlEJEmAEkIUed99Z+CHH4w0bRqkTBnprigMVBWmTvVQrJjO8OFWfvlFuhVFZEmAEkIUeTJ5vHCqWFFnwgQvbrfCI4/Y8PliXZEoTCRACSGKNJ8Pli41UaaMRpMmsnlQYdO2bZBu3QJ8+62RceMssS5HFCISoIQQRdqGDSonTyp07hzEJKeAFEovveTl6qs1pk41s3mzMdbliEJCApQQokiT4bvCLzER3nvPg8mk89hjVlJTZT6UyDsJUEKIIuvPPxU2bzZy000hHA7Z+6kwu/FGjWef9ZGaamDQICtaAf7vTkuDfv2s7N4tL+GxJK0vhCiyFi82oWkKXbtK71NR0K9fgMaNg3zyicrbb5sL7P5Qa9aopKSYmDRJ5nTFkgQoIUSRpOvh4TurVaddOwlQRYHBAG+95aVMGY2xYy307m3l0KGCN5y3dWt4X6tPPzWSlhbjYoowCVBCiCLn998Vhg+38MsvBlq0CFK8eKwrEvnlsst0Pv7YzW23BVm3zkSDBgl88IGJUAFZgKlp4eAE4PMpfPKJbBIaKxKghBBFgq7Dzp1G+vSxcsstCcyYYaZsWY1Bg/yxLk3ksypVdFJSPLz5pgeTCUaMsNKypZ0ffoj/l8QffzSQmmrghhvCiW/NGglQsRL/zxYhhMgDnw8WLVJp2tROmzZ21qwxUaOGxpQpHvbscVG9egGeTSxyTVGgW7cgO3a4aN8+wFdfGWna1M7YsWY8nlhXl7ktW8KBqV8/P1ddpbFhg4rXG+OiiigJUEKIQik1VWHiRDO1aycwcKCN7783cO+9AVaudLNxo5tOnYKYzbGuUsRacrLOu+96WbDATfnyOpMnW7jjjoRzw2TxZuvWcF133BGiRYsgLpfC9u3xWWthJwFKCFGo6Do8/7yFm25KYPx4Cx6PQv/+fr74wsWMGV7q1QuhFLx5wyLK7rwzxKefuhgwwM+BAwqdOtl59FErx4/Hz5PF7YZdu4zUqBHisst0WrYML36QYbzYkAAlhChUvvzSwNSpZi67TOfll718800aY8b4qFixgK5ZF/kmIQFGj/axYYObG28MsXixiQYN7KSkqHGx5cHnnxvx+xUaNw4CcPPNGpddprFunUowGOPiiiAJUEKIQmXx4vDO4hMmeHnwwQCJiTEuSBQ4N96osW6dm9GjwwcR9+tno1cvG4cPx7Y3Kn3+U6NG4QnkBgM0bx7k+HEDX3whw3j5TQKUEKLQ8PlgxQoTZctq3H57AVmXLuKSqsKAAQG2bnXRoEGQDRtUGjRIYNYsU8x2Md+61YjNplO37j/P7RYtwl1Pq1fLMF5+kwAlhCg0Nm5U+ftvhfbtgxjlD3IRAZUr6yxd6uH1170oCjz1lJUOHWzs35+/vVGHDys4nUbq1w9hOW8D8ttuC1G8uM6aNfExzFiUSIASQhQaixeH/wrv3Fl2FheRoyjQs2eAzz5z0axZgB07VBo1SmDKFFO+zT1KXxWYPv8pndkMTZsGOXTIwDffyEt6fpLWFkIUCidOwKZNKtWrh7j+etnbSUTe5ZfrzJrl5f33PSQm6owZY6VFi/zZgPPf85/O17JlOFTJarz8JQFKCFEoLF9uIhBQ6NRJep9E9CgKtGkT5LPPXHTqFODrr8MbcD70kJUdO4xRGUYLheDTT1XKl9eoVu3iPw4aNw5is+kyDyqfSYASQhQKixebMBh0OnSQ9dwi+kqVgilTvMyf76ZqVY0VK0y0a2enYUM7779v4tSpyF3ru+8MnDyp0KhRMMM9zOz2cIj66Scj//ufvKznF2lpIUSBt3+/wp49Rm6/PUS5cjKTVuSfJk1CfPqpm5Ur3bRvH+C33ww8+6yVmjUTeeIJC19/nfeX2a1bwz1LjRtnvrI0fTWeDOPlHwlQQogCL33vJxm+E7GgKFCvXoh33/Xy9dcuRo70UaaMzty5Zu6+O4G777Yzb56K2527x9+yxYii6DRsmHnv6t13B1FVXQJUPpIAJYQo0HQ9HKDsdv3cX+FCxEqZMjqDBoWPDlqwwE2zZgG+/dbA4ME2rr02vNghJ9LS4MsvjdSqpVGqVOb3K1EivKXB118b+eOP+Dl+pjCTACWEKNB27IADBwy0bBkkISHW1QgRZjCEz9ebPdvL7t0uevTwc/AgTJpkyfqLz7Njh5FgMDz/KSvpq/HWrpVeqPwgAUoIUaDNmRN+K8N3Il5VqKDzyis+KlWCGTNM/P579nuIsjP/KV3z5kEURVbj5RcJUEKIAsvrhUWLoFw5jYYN5egWEb8sFhg3Dvx+hXHjst8LtXWrSkKCTu3aWT+/y5bVuflmjc8/N3LsmAzjRZsEKCFEgRU+ugU6dJCjW0T869IFatUKsWyZib17s375PXBA4ZdfDDRsGMRkyt41WrQIoGkK69dLL1S0SQsLIWLu+HGFlBQVRYGEBB27Pfw2IQHsdv2CzyUlheeXwD9Ht8jwnSgIDAZ4/nkf7drZGTPGwrJlngz3dUqXPnx3xx3Z711t0SLImDHhw4V79JCfi2iSACWEiCm/H3r0sPHVV9nrQrr6ao05c9yULBk+uqVmTaheXY5uEQXDbbeFuPvuIBs2qGzYYOSeezIPR1u3Znz+3aVUrqxTvXqIbduMnDkDSUl5LllkQgKUECKmXnrJwldfGWndOkCbNkFcLnC5FFwuBbebC96eOKGwdatKy5YJNG8eIBhUuO++WH8HQuTMqFE+Nm0y8uKLFpo0caNm8EocDML27SoVK2pUrpyzzWFbtgzy2msWNm1SaddOtvaIFglQQoiY2bDByNSpZqpWDTFpkpfExKy/ZsEClSFDrMybZ8Zg0OnWTSbLioLF4dDo0SPAnDlm5s0zcd99Fw+17d1r4NQphTZtApcc5stIixbhALVmjQSoaJJJ5EKImDh0SOGxx2xYLDrvv5+98ATQtWuQuXM9JCXptG4d5PLLo1unENHw9NN+7Had8ePNpKVdfHv6/KdGjXK+urR6dY1KlTQ2bVLxevNa6T+icVByQSYBSgiR74JBeOQRKydPKowd6+P663M2h6lx4xA//pjGlCkRfHUQIh+VLaszYICf1FQDU6eaL7p961YVo/HSx7dkRlHCvVAul8K2bZFZnvrTTwYaNLDz3HM52wi0MJMAJYTId6++auaLL1TatAlkOHyRHRYL2V7aLUQ8GjDAT3KyxpQpZo4c+Wec7tQp+OorAzfdpFG8eO4eu2XL8M/V6tV5/yHZt89AmzY2fvrJyLRpJvbvl2FzkAAlhMhnW7YYefNNM1ddpTFxojfH8zuEKCwSE8NDeW63wquv/tMLtX27SiiUveNbMlO7tkbZshrr1xsJ5mEa1HffGWjXzsaxYwbatAnvMZXT42gKKwlQQoh8c+SIwqOPWlFVeP99D8WKxboiIWKrR48A1aqFmDvXhNMZfknOzfYF/2YwhI92OXHCwMCBVv7+O+eP8fXXBjp0sHPypMLrr3t57z0v114bYvFild9+k798JEAJIfJFKAQDBlg5dszA88/7qFVL9m4SQlXD2xpomsLYsRZ0PTz/qXhxPc8/I0OG+LnpphApKSbuuCPhXDDLjt27w+Hp9GmYPNlLz54BDIbwY4ZCCpMnXzxvq6iRACWEyBdvvGFm+3aVZs0CPPSQ7JAsRLp77glx661B1q9XmTfPxIED4eNbMtofKifKldP5+GM3w4b5SE1V6NzZzrBhFlyuS3/d558b6dTJjtsN77zjpUuXf3rCWrUKUq1aiAULTBw8WLR7oSRACSGibscOIxMmmKlQQePNN2XekxDnU5TwES8ATz8dnl+Um+0LMqKq4V6jdevcOBwhZsww06RJArt3Z/zyv2OHka5dbfh8MG2al/btLxxGNBph8GA/waD0QkmAEkJE1bFjCv36WVEUeO89DyVLxroiIeLPTTdptG0bIBAI/3WRlwnkGbnxRo2NG9307+/n118V7r3Xzssvm/H7/7nP1q1Gune3EQjA9OleWrXKuIZ27YJUrqwxb56JQ4eK7l9DEqCEEFGjaTBwoJUjRwyMGOGnTh2Z9yREZkaM8GEy6VSrFqJixcjvWmm1wpgxPpYt83DFFTpvvGGhWTM7+/YZ2LTJSK9eNjQNZs/20Lx55gFOVeGJJ3wEAgpvv110e6EkQAkhombDBiObN6s0bhzk0Uf9WX+BEEVYpUo6y5e7mTEjuhvE1q8fYutWFz16+Pn+eyNNm9rp3duGwQAffeShSZOshw87dAhSsaLGRx+Z+OuvotkLJQFKCBE18+aFN/EbNcqHQX7bCJGlOnU0HI7o99QmJcEbb/iYM8dNsWI6JhPMm+fhjjuyN/fKZArPhfL5FKZMKZq9UPIrTQgRFUePKmzapHLDDSFq1JChOyHi0T33hPjiCxdffunitttyNnG9c+cAFSpozJplumAn9aJCApQQIiqWLFEJBhW6dZMtC4SIZ4mJkJyc8zlXZjMMGuTH61UyPM+vsJMAJYSIOF2HBQtMmM067dtLgBKisOrWLcDll2vMnGni2LGi1QslAUoIEXFff23g//7PSLNmQUqVinU1QohosVjCvVBut8K77xat070lQAkhIi598rgM3wlR+PXoEaBsWY3p082cOBHravJPtgOUw+GwORyObx0Ox4SzH492OBxbz/vXNHplCiEKCo8Hli0zUa6cFrHdlIUQ8ctqhYED/bhcCtOmFZ25UDk5aWcssPf8TzidzkYRrUYIUeCtXaty+rTC/ff7MWb/7FIhRAHWq1eAN9808/77Zvr181OiRKwrir5s9UA5HI5ewA7g1399/lmHwzHU4XA843A47NEoUAhRsKQP33XtKsN3QhQVdjs8+qifM2cU3n+/aPRCKbp+6aWLDoejOtDT6XSOcDgco4FEp9M51OFwXA/85nQ6XQ6HYwBQ2+l0PnipxwoGQ7qqyp+kQhRWBw5ApUpQvz589lmsqxFC5Ke0NKhcGYJB+O03KF481hVFRKZLC7MzhNcO8DocjmFAA8DscDgGO53OSefdZzPwVFYPdPKkOxuXy5vk5CRSU89E/TpFhbRnZBX29nznHTO6bqFjRy+pqfnTA1XY2zRWpF0jryi0ab9+ZsaOtTBwoJ+JE30oUd7ZINptmpyclOltWQYop9P5Uvr7DofDSrgHapLD4XjN6XSmh6ZqwM95LVQIUXBpGsyfb8Ju12nTRobvhCiK+vb1s2KFykcfmaleXaNv38L7uyDbk8gdDkcH4HbCPVDdgKDD4XgTOArcADwanRKFEAXBzp1GDhww0KVLgMTEWFcjhIgFux1mzfJwzz12Ro2yULVq4V2Nm+0A5XQ6lwJLz/vU/MiXI4QoqObPl72fhBBQoYLOzJke2rWz89BDNtatc3H11Tk/KibeyYjcPqsAACAASURBVEaaQog8O3MGVq1SueoqjVtvLZx/bQohsq9OHY2JE72cOqXQs6edU6ci99h+P0yfbor5pp0SoIQQebZihQmPJ3xwcLQnjQohCoYuXYI8+qifX34x8PDDNoLByDzujBkmhg+3smFDTrayjDwJUEKIPJs/34Si6HTpIsN3Qoh/jBzpo2nTIFu2qIwZY8nz4wWDMG2aGbtd5557IpTIckkClBAiT37+WeHLL43cfnuIK64ofPMchBC5ZzTCu+96cDhCvPeemblz83bg8KpVKn/8YaBr1wAlS0aoyFySACWEyJP0yePdu0vvkxDiYklJMHu2h5IldZ5+2sLnn+duQ21dh6lTzSiKzsMP+yNcZc5JgBJC5FowCIsWmSheXKd589h2pwsh4lflyjrTp3vQdbj/fisHDuR8suTnnxv5+msjzZsHqVIl9r3dEqCEELm2dauRI0cMtGsXwGqNdTVCiHjWoEGIceN8HD9uoFcvG2lpOfv6qVPDvd0DBsS+9wkkQAkh8iD94GDZ+0kIkR19+gR44AE/+/YZGTDAmu0Q9fPPCuvWmahdO0Tdulp0i8wmCVBCiFw5flxh/XqV664LUatWfPxCE0LEvxdf9NGwYZB160zUq5fA7NmmLLc4ePddMxA/vU8gAUoIkUspKSqBgELXrrL3kxAi+0ym8KTyoUN9pKUpDB1q5Y477Kxdq6JnMLXp2DGFRYtMVKyo0aJF/My1lAAlhMixY8cUZs40oao6HTvGzy80IUTBkJAATz/tZ9cuF/fd52f/fgO9e9to3drG7t0XRpOZM014vQqPPOLHmLsFfFEhAUoIkSNbthhp1MjOTz8Z6dIlQHJy7FfDCCEKprJldSZM8LFtm5vmzQPs2qXSokUCDzxg5ZdfFLze8M7jxYvrcTfXUgKUECJbvF4YNcpCly52Tp5UeO45LxMn+mJdlhCiEKhWTWPWLC8rV7qpXTvExx+baNgwgS5dbBw7ZqB3bz+JibGu8kISoIQQWdq3z8A999h57z0zVauGWLvWzcCBAQzyG0QIEUH16oVYs8bN9OkeKlbU2blTxWTS6ds3vnqfQAKUyKNfflHo18/KDz/IU6kw0nX44AMTd99tZ98+I717+9m0yc2NN8qqOyFEdCgKtGoVZPt2F2++6WHaNC/lysXfVIHYHmUsCrx33jGTkmJi0yaV2bM91K8finVJIkKOHlV4/HErn3yiUrq0xvvve2jWTP5/hRD5w2SCbt3id5GKdBuIXNN12LhRxW7X8Xigc2cbq1ZJJi8MNm4MTxT/5BOVxo2DbN3qlvAkhBDnkQAlcu377w389ZeBFi2CzJvnwWSCvn2tTJ+et9O2Rex4vTB8uIUePeycOaPw0kte5s/3ULZs/HWfCyFELEmAErm2cWO4t6lp0yB33BFixQo3ZcroDB9u5eWXzRluiCbi108/GWjWzM706WauvTbE+vVuHnpIJooLIURG5FejyLWNG1WMRp3GjcNj1DfeqLF6tZvKlTXeeMPCE09YstyeX8SersP8+SpNm9r58cfwRPH1691Ury4TxYUQIjMSoESuHDum8NVXBurUCVGixD+fr1RJ5+OP3dSqFWLePDN9+thwu2NXp7i0M2egf38rjz9uQ1Vh+nQPr73mw2aLdWVCCBHfJECJXNm82YiuK9x118UTi5OTdVJS3DRuHGTDBpUOHeycOBGDIsUlff21gSZNEkhJCZ9wvnmzi1atpMtQCCGyQwKUyJVNm/6Z/5SRxESYM8dDx44B9uwxcu+9dg4elBNn44GmwdSpJlq2tPP77wqDBvlYudJNxYoyaU0IIbJL1pyLHAsGYcsWlQoVNK69NvN5MmYzvP22l7JldaZMMdOmjZ0dO1wyPBRDx44pPPZYeG+n5GSNKVO8NGok2xMIIUROSQ+UyLEvvzRy6pTCXXcFUbLoVDIY4PnnffTt6+ePPwysXCmZPVa++cZA48bhvZ0aNQqyZYtbwpMQQuSSBCiRYxs3GoHMh+8y0r+/H0XRmTnTHK2yxCU4nQY6d7aTmqowcqSPBQs8XHaZDNkJIURuSYASObZxo4rNptOgQfZ7L668Uufuu0Ps2WPkm2/kaZeffv9doVMnGydPKrz+updBg/yyt5MQQuSR/BoVOXLggILTaaRBg1CO5zL16eMHYOZM2ak8vxw5otCxo52//jIwZoyX7t1llZ0QQkSCBCiRI+m7j991V85fiBs3DlGxokZKiom//450ZeLfTp4Mn0/4++8Ghgzx0b9/INYlCSFEoSEBSuRIVtsXXIrBEO6F8ngUFi2SXqhoSkuD7t3t7Ntn5MEH/TzzjD/WJQkhRKEiAUpkm9sNO3YYue66EBUq5G4CcrduQSwWnQ8/lLPyosXrhd69bezZY6RTpwAvveTLcrWkEEKInJEAJbLts8+MeL1Krobv0pUurdOmTZBffjGwfbsxgtUJCO/R9cgjVrZvV2nWLMCbb3plwrgQQkSB/GoV2ZY+/6lp07ztHZQ+mfzDD2UYL5I0DZ54wsratSYaNgwybZoXVbbdEkKIqJAAJbJF18Pzn0qU0Ln55rwFqNq1NW64IcS6dSqHD0dnbOnIEYXJk83062dl+XIVny8ql4kbug6jRllYuNDETTeFmDXLg9Ua66qEEKLwkgAlsmXfPgOHDhlo3DiY514NRYH77w8QCinMmRO5XqhAANasUenZ00atWgmMHWshJcXEww+HP37uOQv/+1/he8rrOrz6qpn33zdz7bUh5s1zk5gY66qEEKJwK3yvJiIq8rL6LiPt2gUoVkzno49MBPK4uv6nnwyMGWOhVq0E+vSxsWGDSo0aGuPHe9m40UX//uEhw3ffNdOgQQKtWtlYsEDF7Y7ANxJj339voG1bGxMnWrjqKo1FizyUKhXrqoQQovCTGRIiWzZsMGIw6Nx5Z2QCVEICdO0aYNo0M+vWqbRqlbPHTUuDlStV5s418+WX4cnoJUvqPPSQn27dAtSo8c8hxzVr+nj2WR/r1qnMmWPi009Vdu1SGTlSp0OHAD17BrjhhswPRY5Hx48rvPKKmTlzTGiaQrNmAV5+2Ue5crK0UQgh8oP0QIksnTgBu3cbqV1bi2jvRu/e4a6nnE4m37LFSM2aiQwebGP3bgONGgV5/30P336bxksv+S4IT+nMZmjdOsjixR6+/DKNIUN82O3h7RSaNEmgdWsbP/0U/z8OwSB88IGJevUSmDXLTNWqGgsXupk928sVV0h4EkKI/BL/rxgi5rZsUdE0JWLDd+mqVdNo2DDIZ5+p2Z6btHGjkV69bPj9MHSoj927XSxa5KFNmyAWS/aue9VVOsOG+fnqKxdz5rhp0iTI55+r3HmnnbffNhHK2xz5qNm2zcidd9oZMcKKrsOLL3rZssVN48ZxWrAQQhRiEqBElvJyfEtW+vQJ90Jl53y8NWtU+vSxYTTCRx95ePppP1demfteF1WFe+4JMX++hxkzPCQl6bzwgpV777XHVW/U778r3H+/lY4d7TidBnr18rNzp4tHHglgkp0ghBAiJuLnVULEpVAo3ANVvrzG9ddHfp5Qs2ZBypXTWLjQhMuV+f1WrlTp29eKyQTz53u4447I9rrce2+Q7dvdtGsXYM+ecE/PlCmx742aMsVEgwYJrF5tom7dIBs2uJk40UdysgzXCSFELEmAEpf0+edw8qRCkybBqBwHYjJBr14BzpxRSEnJuDtl6VKVhx+2YrXCwoUe6tePTqopXVrnvfe853qjxoyx0qqVnZ9/js05KPPmqYwZY6VECZ2pUz2sWuWhZs2CNdldCCEKKwlQ4pJWrw6/jfT8p/P17BnAaNT58EPTRefjLVigMmCAlcREWLzYzS23RL9L6PzeqN27jdx5ZwLvvJO/vVG7dhl56qlweFqxwk2HDtEJsEIIIXJHAlRBoOsY/jgYk0uvXg0Wi07DhtFLD5dfrtO8eZDvvzeye/c/T8k5c0w8/riVEiVg6VI3tWvnX+/L+b1RiYk6o0eHe6P2749+ivnjj/CcJ02D6dM9VKkiw3VCCBFvJEAVAAkvPEfpm67HOvvDfL3uoUMK334L9euHSEiI7rXuvz99SwMzANOnm3jySSulSuksXeqO2dBVem9U27bh3qhoD+m5XNCrl41jxwyMHeuLanAVQgiRexKg4pxt2jvYp7wJgP31V8Hvz7drp+8+fvfd0Ru+S9egQYiqVUOsXKkyfryZ4cOtJCdrLFvmyXBfp/xUurTOtGlexo3zkppqoH376PREaRo89piVH34wct99fh54II9btAshhIgaCVBxzLxyGQmjhhO6rCzetu0xHj6EdfGCfLt+NLcv+Lf08/H8foWJEy2UK6exYoWba6+Nn0nTffsGeOEFL3/9ZaBDBzsHDkQ2RE2YYObjj03Urx9k3DifzHkSQog4JgEqTpl27qDYgIfQExI5NX8prjHj0M1mbJNfD29HHWVnzsD27Uauuy688WR+6Nw5QMmSOldcobF8uZuqVeNv7k+/fgFGjvRx6FC4J+rQociknJUrVSZMsFCxosb06V7M5og8rBBCiCiRABWHjP+3j2L3dQNN4/SMOYRuuBHt8vJ4u/RA/XU/lpXLonr9gwcV7r3Xjsej0KlTVC91geLFYds2F9u3u+J64vSgQX6eecbHgQMG2rWz8+efeQtR331n4LHHrCQk6Mye7aF06fj93oUQQoRJgIozhj8PU7xrewyn/ubMpCkEGt157jb3Y4PRjUbsb04MT5iJgj17DDRrZmffPiP33+9n1KioXCZTZcvqJCbm7zVz48kn/QwZ4uO338I9UUeO5C5EHT2qcN99NrxeeOcdL9Wrx8+QpRBCiMxJgIoS5fQplCNHcvw1xbt2wHj4EGkjR+Pr3O2C27VKlfG164i670fM69dGslwAli9XadvWzvHjCuPGeRk/3oeqRvwyhcYzz/h57DEfv/xioGNHG6mpOQtRPh/06WPj0CEDw4f7ad48+kOzQgghIkMCVDToOsU7tqb0jddQvGt7zGs+znreks9HsT49UPf9gOeBh/A89kSGd3M//iQA9kmvcdGuk7kvlwkTzDz8sA2TCebO9dC3r6wAy4qiwMiRfh55xI/TaaRjRxsnTmTva3UdnnrKyu7dRtq3D/D44/m3ulIIIUTeSf9CFKi7v8D09V60YsUxb96EefMmQpeXx9u9F96evdGuqHDhF2gaSY/3x/zZNnwtWpH20qtktgQr5LgWX8vWWFavxPTplguG+HLD64XBg62kpJi48kqNjz7ycN11MoyUXYoCL7zgIxCAGTPMdOpkZ+lSNyVK/HMftxt++83A/v0Gjh6F77+34HQa+fJLI7VqhXjjDa+suBNCiAJGAlQU2ObMBOD0jDloZZKxzZ6BZfFCEiaOx/7Ga/jvuhtv7wfw39kUjEYSXngOa8oSAnVu4fTUD8BovOTjuwc/iWX1SuyTJnAqDwHq6FGFPn1s7N5t5OabQ8ya5ZFDanNBUWDcuHCImjPHTIcOdmrVCrF/fzg0/fnnvzt6zSiKTs2a4Ta32WJSthBCiDxQ9AgNA2VHauqZqF8sOTmJ1NQz0b5MppTTpyh9wzVol5XlxK6vwXD2xdPlwroiBeus6Zj2fgVAqMKVBOregjVlCcGq1fj74w3opUpn6zrFunXA8slGTq5cT7DerTmuc98+Az172jh40ED79gEmTfJitV58v1i3Z0GiafDEE1bmz//nUOQrrtCoUkWjcuXwv//8x0rp0i6uukrLsL1FzslzNDqkXSNP2jTyot2myclJmY4PSA9UhFmWLELxePD06vNPeAJISAgP4XXvhfrdN1hnfYhl6SKsKUsIXVaWUwtSsh2eANyDn8LyyUYSJr3GqQUpOapx82YjffvaSEtTePppH08+6ZchpAgwGOCNN7z07u3HZoNKlbSLepeSk62kpsoQqRBCFHTZDlAOh8MG7AI2OJ3OoQ6HoxTwCrAfqAaMcDqdOVt2VtjoOrY5M9FVFW+XHpneLXhDTdImTMI1+kXM69YQuOlmtIpX5ehSwVvq4a/fAPPmTajf7CVY8z/Z+rpjxxQefNBGKATTpnlo21ZWfkWSwQA33SQBSQghCrucrMIbC+w97+NxwCan0/kKsByYEMnCCiL1669Qf/gO/z0t0MuWzfL+emISvo5d0KpcnavruQcPBcA+aWK2v2byZDMul8KoUT4JT0IIIUQuZStAORyOXsAO4NfzPt0S2Hn2/R1nPy7SrGcnj3t69cmX6wXuaEzgPzdhWb0So/P/srz/4cMKH35ookIFjfvuk20KhBBCiNzKcgjP4XBUB65zOp0jHA7HjefddBmQPnPrNFDS4XCoTqcz026NkiXtqOqlV5hFQnJyUtSvcZEzZ2DZErjqKkp0anPh/Kdoev45aNuWUu9NhjlzLnnXkSPDmze+8IJChQrZb6NLtqfHA198AbffnunWC+JCMXl+FnLSptEh7Rp50qaRF6s2zc4cqHaA1+FwDAMaAGaHwzEYOAokAX8DxYCTlwpPACdPuvNYbtZitcrBOvtDklwuXI89gfu4K/8uXK8RJa+rjnH+fE4MegqtUuUM77Z/v8KMGQlUrarRrJmb1NTsPfwl29PrpXi3Dph3bOfMxMl486nnrSCTVTiRJ20aHdKukSdtGnn5sAov09uy7CZxOp0vOZ3OF87OdfoM+MLpdE4CVgPp6+dvO/txkWWdMxPdaMTbrWf+XthgwP34kyihEPa3JmV6t9desxAMKgwb5o/M8SzBIMUe7oN5x3YA7G+9kfVu60IIIUQhke1xJofD0QG4HajncDi6ASOApg6HYyTQHhganRLjn/rt15i+2Yu/6T1ol5fP9+v72rQnWLkK1oVzMfx5+KLbf/zRQEqKSo0aIe69NwIhR9NIGvwolnVr8DdshKdbT4y//Ypl1fK8P7YQQghRAGS7L8LpdC4Flv7r0w9FtpyCyTpnFkDshrCMRjyDhpD0xEBs70zG9eIrF9z8yitmdF1hxAhf3qdm6ToJo4ZhXTSfQO2bOTVrHobUo1gXzsM++Q18bTvIXCghhBCFnhwmnFdpaViWLiJU/orw0Swx4u3UldAVFbDN/vCCFXl79hhYt85E3bpBmjQJ5fk69onjsb//LsFrr+PU3MWQmIhWuQq+tu1Rf/gO8ycb8nwNIYQQIt5JgMoj64oUDGln8HbvleUZdlFlNuN67gUUj4fiXdufG8obN84CwLPP5n23cesH75Lw6jhCFa/i1KLlF+yc7n5sCAD2N1/P20WEEEKIAkACVB5ZP5qJbjCEA1SM+dp1xDXiOYyH/qB4t458tt7L9u0qjRsHufXWvPU+WRYvIGnE04QuK8vfi1eglbv8gttD19fA1/QeTLt2on6+M5NHEUIIIQoHCVB5YPz+O0x7duNv0hStwpWxLgcA9+NP4rm/L8Yfv2f8gKMAjBjhy9NjmtevJWlQf7TiJTi1cBla5SoZX3vQkwDYJ2d/Z3QhhBCiIJIAlQe2j2YC4O3ZJ6Z1XEBRSBv3GstuGsOuM9fTtvxOat6Qh5V3W7dSrO99YLFwau5iQtfXyPSuwVvq4a9XH8umDRi//y731xRCCCHinASo3HK7sSxZRKhsOfxN74l1NRfQFCMj3SMwEOKlww+SMGZUrh5H/WYvtG4NmsapGR8RrHtLll/jefzsXKi3ZC6UEEKIwksCVC5ZVi7DcPoU3h69iMzOlJGzfLnKvv9T6djGwzXVQtinvoXt3bez/wAeD9YP3qV457aQlsbpqR8QuPOubH2p/86mBGrciGXFMgz7f8nldyCEEELENwlQuWSbMxNdUfB2vy/WpVwgEIDx4y2YTDpPjYRTC1IIlS1H4nMjsCz/9zZe/+LxYHtvCqXq1iRpxNMoPh9Mn46/dbvsF6AoeAY9gaJp2KdMzts3I4QQQsQpCVC5YPy/fZi+3EWg0Z1oFa+KdTkXWLjQxK+/GujZM8BVV+loV1bk1PylaIlJJA18BNPZo1cu4HZjm/o2pW++gcRRw1HS0nAPGsLx3d/D/ffnuAbfvW0IVaoc3hn9rz8j8F0JIYQQ8UUCVC5Yz04e9/TKebiIJq8XJkwwY7PpDBniP/f5UI0bOD1zLug6xXp3x/jjD+EbXC5sUyaHg9PzI8DtxjV4KCd2f4dr5Gj0MmVyV4iq4h44GMXvx/bulAh8Z0IIIUR8kQCVUx4P1kXz0ZIvw39P81hXc4HZs00cPmzgwQf9lC2rX3Bb4PZGnJk8FcPpUxTv1gH7669Sus4NJI4ZCT4friFPceKr73GPeA69dOlMrpB93i7dCZUth3XWDJS/T+b58YQQQoh4IgEqhyyrlmP4+2+83XqCyRTrcs7RNPjgg3Dv08CB/gzv4+vQmbTnx2L88zAJr4wFfwDXk89wYs93uIeNQi9ZKnIFWSx4+g3E4ErDNn1a5B5XCCGEiAPxtXws3vl8JLz2Mrqq4unZO9bVXGDHDiO//WagS5cApS6RgzwDHkO3mFFcLrx9HkQvXiJqNXl734/9zQnY3p+Ku99ASEiI2rWEEEKI/CQ9UDlge+8djL//hufBR9AqVY51ORf46KNwb1ivXhn3Pp2jKHj79sPz+JNRDU8AemISngcexnDiBLa5s6J6LSGEECI/SYDKJsORv7C/8Rpa6dK4hz4T63IucPy4wurVKg5HiDp1tFiXcwHPQ/3R7XZs77wF/izCnRBCCFFASIDKpoSXxmBwpeEaNirqPTc5tWiRit+v0LNnAEWJdTUX0kuXxtOzN8bDh7AsXRTrcoQQQoiIkACVDerePVgXzCVYvQbeOJv7pOvh4TuzWadTp0Csy8mQp/9j6CYTCa+/itH5f7EuRwghhMgzCVBZ0XUSnw0P2aW9NB6MxhgXdKFdu4z89JORe+8NXnLyeCxpV1TA81B/jL//RsnG9Ul4bgTKmdOxLksIIYTINQlQWbCkLMa0+wt8rdoSuK1hrMu5yJw56ZPH47P3KZ3r+Rc5NXsB2hUVsL/7NqXq3YRlwdzw/gtCCCFEASMB6lJcLhJeeA7dYiHt+RdjXc1F/v4bVq1SqVJFo379UKzLuTRFwd+sBSe2f4Fr2EiUtDMUG9SfEvfejfrN3lhXJ4QQQuSIBKhLsL/1BsY/D+Me8FjcnXkHsGSJCa9XoWdPf9xNHs+U1Yp7yNOc2LEbb+t2mHZ/QYm7G5H45CCU48djXZ0QQgiRLRKgMmE4eAD7O5MJlbsc92NDYl3ORXQ9PHxnMul06RKMdTk5plW4kjMfzOLvpasIOa7FNmcmper9B+v0aRAseN+PEEKIokUCVCYSXngOxevFNWoMJCbGupyLfPWVgX37jDRrFiQ5Wc/6C+JUoOEdnPzkM9JefBk0jaThQ0ka/GisyxJCCCEuSQJUBkw7d2BdkUKgdh18HTrHupwMFZTJ49liMuF55FFO7PyKYLVrsCxbgnLyRKyrEkIIITIlAerfQiESzt+2wBB/TXTmDCxfbqJiRY3bb4/zyeM5oF92Gd4uPVACASyrV8W6HCGEECJT8ZcOYsw6bw6m77/F27kbwZtujnU5GUpJMeF2K/ToEYjHfJcnvrbtAbAsWxLjSoQQQojMFbKX37xRTv1NwssvoNsTcI0cHetyMjVnjgmjUadbt0IwfPcvWsWrCNxcF9Nn2zAc+SvW5QghhBAZkgB1HvvEVzEcO4briaFo5S6PdTkZ+vZbA99+a6Rp0yDlyhXcyeOX4m3fEUXXsaxcFutShBBCiAxJgDrL8Nuv2D54l1DFSngeid9VYIVq8ngmfK3aoRsMWFJkGE8IIUR8kgB1lnXBRyjBIK6nh4PVGutyMpSWBkuXmihfXuPOOwvP5PF/08uWJXDb7Zj2fInh999iXY4QQghxEQlQALqOdclidHsCvpatY11NplauVElLU+jePRBvZxpHnK99RwAsK1JiXIkQQghxMTXWBeSHtDQ4elRB10HTFDSNc/90HQzffU/igVIE7urKVZaEuG2UOXPMKIpO9+6Fd/guna9lKxKffgLrsqV4BsXfTvBCCCGKtnjNChHjdkO9egkcPXqpzrZbgD2wCa68ReORR/x07x6Iqw3If/zRwJ49Ru66K0iFCoVz8vj59BIl8d95F5b1azH+z0noGkesSxJCCCHOKfQBatUqlaNHDdStG8Th0FCU8N6Y5/7pGvaPZmAwwOFWD7JilZmRI6289pqFPn389O0boGzZ2AeWjz4KTx7v2bPw9z6l87XriGX9Wiwpi3EPGxnrcoQQQohzFF3Pv3CQmnom6hdLTk4iNfXMuY9btbKxa5fKF1+kUanSxZc3b1hL8Z5dcD/cH9fY8Rw/rvDhhyZmzDBx7JgBs1mnY8cA/fsHcDi0aJefIY8HbrwxEYtFZ+9eFyZT/l373+2Zr9LSKHP91YQuL8/JnV+BosSmjgiKaXsWUtKm0SHtGnnSppEX7TZNTk7K9IWnUE8i/9//DOzapXL77cEMwxOAZclCgHNn3pUurTN0qJ89e1xMmODlyit15s0z07BhAj162Nixw0g+Zk4AVq9WOXVKoVu3QL6Gp5hLTMR3T3PU/b+gfvt1rKsRQgghzinUAWru3EvvmaSkncGyfi3Bq6sSrHXTBbfZbHDffQF27HAxa5aHunWDbNyo0q6dnZYt7Zw8GfXyz1m4MPx9FMadx7Pia3t2Nd6ypTGuRAghhPhHoQ1QPh8sWqRSqpRGs2bBDO9jXr0KxeMJ9z5lMjxkMEDz5kE+/tjD6tUumjQJsnu3kddft0Sz/HMOH1bYts1InTohqlSJ/Vys/OZv0hStWHEsy5eGl00KIYQQcaDQBqj161WOHzfQuXMQSyZZx3p2+M57dvguK3XqaMyc6aFiRY0ZM0z8+mv05+QsWWJC1xW6dCl6vU8AWCz4WrbCePgQpi8+j3U1QgghBFCIA1T6kSeZrVozHPkL0/ZPCdSug1a5SrYf12KBZ5/1xsi0CgAAIABJREFUEQgovPRSdHuhdB0WLlSxWHTatCmiAQrwte0AgGWZHO0ihBAiPhTKAPX77wqffqpSt26Qa67JeNjHsmwJiqbh7dglx4/ftm2Qm24KsXKlid27o9eEe/ca+OknI82aBSlePGqXiXuBhneglUnGsmo5BDMejhVCCCHyU6EMUPPnZ71nkmXpYnSjEV+b9jl+fEWB0aN9AIwebYnaqrxFi8LfR5Edvkunqvhat8Vw7BimbVtjXY0QQghR+AJUMAjz5plIStJp3Trj3grjT//D9M1e/HfehV6mTK6uU69eiObNA3zxhcrq1ZHfj9Tng2XLTCQnazRqVHgPDs4u79nVeNblshpPCCFE7BW6ALV2Lfz1l4EOHQLY7Rnfx7L0wr2fcmvUKB9Go87YsRYCEe4k2rhR5eRJhQ4dgqiFfr/4rAXr3kLoigqYV68CrzfW5QghhCjiCl2A+uCD8NvM9n5C17EuWYyWkIivWcs8XatqVZ377guwf7+B2bMju8PlokXh1FTkh+/SGQz42rTHcOY05s2bYl2NEEKIIq5QBai//lJYvRpq1gxxww0ZTx5Xv/z/9u48Xqb6f+D468x65+4LCm1IH7KUNkIl7YuU0q5vKSUKha8lWUIplFISUZGKSqSyfJVSidCivt/6/FpIi4q7LzNzZzm/P2bIdrn3OnPn3uv9fDx63Htnzjmf97ybmfN2Pp/z+XyOfesWSi+9nDIvUVXAoEGlJCebTJzooqDgkA8HwI4dBitXOmjZMkSLFjL30U7+bjsn1ZS78YQQQsRXrSqg3nnoW0IhuPnibWVukxDtvqvM3Xf7U7euSb9+peTk2HjqKZclx3zrLQfB4GE891MZgq1OItjkeNwrlkJRUbzDEUIIcRirVQVUm6aF9GAOPdffs/8NAgHcixcSrluPwFnnWNbunXeW0qBBmBkzXPz226FPrjl/vhO73eSqq+SW/T0YBv4rr8bwenEvfy/e0QghhDiM1aoC6tQBbZlz7otkfrAY14ql+zzvWrUSW04OvquuxsqR2YmJMHSoH5/P4JFHDm1yze++s7Fpk53zzgtRr97ht3TLwfi7dQekG08IIUR81aoCCsOAqVMx7XaSRwzd524td3TpFr9F3Xe76949SIsWId54w8GmTZVP686Fg6X7bv9CTU8g0LI1rlXvY+TmxDscIYQQh6naVUABtGiB947e2LdsJnHaU7seNooKcS9fSrDJ8QRPamN5s3Z7ZHJN0zQYM6Zyk2sGg/DGGw7S0kwuvFC678riv/JqjEAAz/PPxTsUIYQQh6naV0ABJYOHEq5bj8QnJ2P7dSsArneXYHi9katPRmwWAT7nnBCdOwf5+GMH779vr/D+q1fb+ftvG1deGShzAWQBvutuJFTvCJImPoLnqSfiHY4QQojDUK0soMzUNIpGPoTh9ZI86gEAEqLdd77oGJpYGTnSj81mMmaMu8LLtkn3XfmYRxxB/ttLCTU8iuRxo0h8dDwxW09HCCGE2I9aWUAB+K+9gcAZ7XC/sxj3/FdwfvwRgdPOINyocUzbPfHEMDfcEEBr+641+cqjoACWLnXQpEmYU0+VuZ8OJtT4ePIWLyV07HEkTX6UpIdGShElhBCiytTaAgrDoPCRSZg2GykD+mKEw/gOcemW8hoypJTERJPRo93lXidv8WInPl9k7qcY9TDWOuFjjiXv7WUEj29K4jNPkjxsEISl+BRCCBF7tbeAAkKtWuP7V0+MUAjT4cDftVuVtHvkkSZTpvgIBuG22zwMH+7G7z/wPgsWODAMk2uuke67igjXb0DeoqUEm7fAM3smyQP7Qaj8iy8bebkkzHoO92vzYhilEEKI2uagl0eUUjZgCbAOcAFNgJ7AEKDTbpuO11r/JwYxHpLiYQ/iWrGMQNszMevUqbJ2r7wySLNmJfTqlcDzz7v4/HM7M2Z4adx4326mzZsN1q1zcNZZQY46SrqhKsqsV4+8Re+Sdt1VeObNwfB6KZw6HZxld6E6Nn1FwgvPk7DwdQyvF4C8Y44l0L5jVYUthBCiBivvbJKfaa3HASilFgPdALTWnWIUl2XM9Axy1n1l6cSZ5dWsWZjly0sYPtzNK6+4OP/8JJ54wkfXrnuOLl+wIHKiv/ZaufpUWWZGJvlvvE3aDddEiiKfj4IZL4Brt+V1vF7cixfieWkWzo0bAAgdcxz+y6/A8+xUkgcPIPeDT5FbIIUQQhzMQasKrXUY2Fk8OYCjAA00VUo9APgBOzBVa10Sw1grz2XNGnWVkZgIU6b46dAhxODBCfTq5eHjj0sZO9aPxxMZsvP6604SE00uu0zmfjoUZmoaefPfIu2W63G/t4TUW2+kYNZcbH9uw/PSbBJenYstNxfTMPBfeDG+2+6g9NzzwWbD8JbgeeF5Ep95kpL7/x3vlyKEEKKaK/cYKKXURcA7wDta6w3A68AUrfUkoBCYGpsQa4fu3YOsXFnMiSeGmDPHxSWXJPLjjwZr19rZutXG5ZcHSU6Od5S1QHIy+fNep7Tz+bhXriCz/alktT05Mqmq3U5J/4HkrN9EwcsLKD3vQrBFPgLFD4wiVO8IEp+YiO3nn+L8IsThzvbnNhInTZBFs4Woxgyzgrd+K6XmAGu11tN2e6wZsFRr3ehA+waDIdPhqPgEk7WJ1wv33w/Tp0NSEjRrBhs3wvvvQ+fO8Y6uFvH74YYb4K23oGNHuPtuuPrqA3fPzZ8P118PF1wAy5fHbMJVIQ6ooAA6dIBvv4XJkyNfGEKIeCnzRHDQAkopdSLQSGv9bvTvMUASYGqtB0cf6wL001pfcKBjbd9eGPMR0nXrprB9e2Gsmzlkixc7uO++BIqKDBo2DLNxY/HOiyHVSk3J536ZJra//iR8ZP1yb592fTdcq96nYPqsXQsXW6lG57OaqlU5DQRIu6k7rg8/iPx5elvy3o3PvTm1Kq/VhOTUerHOad26KWUWUOUZWe0HbldKtQGcQHOgH9BfKfUk8DfQCuhrQayHja5dg7RqVcy4cW6uuCJYLYunGs8wyl88RbcvfPRxMs9uS/KDwyg97wLMtPTYxSfE7kyT5GGDcX34Af7zL8QoKsK1dg22bX8Qrt8g3tEJIfZSnkHkPxG9624vw6wP5/DSuLHJ7Nm+eIchdhM+rhEl9/+bpIcfImncGIomylp7omp4pk3FM2c2wRatKJzxAu75r+JauwbXe0vw3X5XvMMTQuxFrnsIsZeSPv0IqmYkzJmNY8PnFdrXtmUziY89jLF9e4yiE7WRa8likseMIHRkffLnLcBMTqH0si4AuJcsjnN0Qoj9kQJKiL25XBRNnIJhmqQMGgCBcszPZZokzHmBzE7tSZo0geThg2Mfp6gVHBvXk9q3F2ZiEgXzFhBu0BCA8JH1CZzRDudnn2L8/XecoxRC7E0KKCH2I9CuPd6bbsHxv2/xzHj2gNva/txG6o3XkDKoP6bTSbBxExIWL8Tx+boqilbUVLatv5DW43ooLaVg5gsEW520x/P+Ll0xTBP30nfiFKEQoixSQAlRhuIHxxDOyiJp4sPYft26323cb71Bxtltcb//H0o7dSb3o88ofDJScCWPHCqLG4syGfl5pN3UHduO7RSNf4zSCy7eZxv/ZVcA0o0nRHUkBZQQZTAzsygaPR6jpCTSJbfblB9GTjYpvW4l9a6eGKWlFD76OPnz3yLcoCHBtu3wXXEVzi824l70Zhxfgai2AgFSe96CQ39PyV198N1+5343Cx91NIFTTsX56WqMnOwqDlIIcSBSQAlxAP5rb6C049m4ly/F9V6kG8W1cjkZZ7cjYfFCAqe3JeeDT/HddsceE28WjxiN6XKRNG50ZPbUSjLycjFycw7xVYhqxTRJ/vd9uD7+EP/Fl1I8evwBN/df1hUjFMK97L0qClAIUR5SQAlxIIZB0WNPYLpcJA8fTPJ995B2Y3dsebkUPfgQeW8vI9y4yT67hY9rhPfOPth/+xXPjGn7OfDB2f74nYyOZ5DVWpE0fDC2P34/1FcjqgHP1CfwzJtDoPXJFDw7C+wHXp3Bf3mkG8+1ZFFVhCeEKCcpoIQ4iNDxTSm59z7s2/7AM28OwRatyF3xEd57Bxzw5FcyYCDhrCwSp0zG+OuvijVaUkLqv27E/vdfmCkpJD7/HJlnnETyoAHYtv5yiK9IxIvjm69JHjeaUMOjKHh5fmQ9p4MIN2pMoNVJuFZ/iJGfF/sghRDlIgWUEOVQ0n8gvm7dKR48jNzlqwid2OKg+5ipaRT/+wFsxUUkPXbgbpo9dzRJua8vzq+/xHvTLWR/rSl4chqhhkfhmTObzHZtSB7QVxY9roE8Tz4OQOHkpyo0S37p5VdgBAK4li+NVWhCiAqSAkqI8khIoHD6LEoGDwOXq9y7+XrcGpmUc94c7P/9tlz7eKY+QcJbbxI4vS1FEyaD04n/hpvJ/XQDBdNmEmrUGM8rc8lsfyopfXph/+H/KvuqRBWy//gD7iWLCJzUhsC551VoX3+XKwFwv/N2LEITQlSCFFBCxJLDQdGY8RjhMMmjHtjjTr79cS1fStL4MYQaNCT/hXngdu9xLP8115G7eh0FM18kpJqT8MZ8MjqeTkqvW+WKVDWX+NTjGKZJSf+Be9xwUB6h45sSbH4irlUrMYpkMVohqgMpoISIsUDnCyg99zxcq1fB0rK7YOz6e1LuvgMSEiiY8ypmvXplbGjH37Ubuas+Jf+FeQRbtiZh8UIyO3cg4aXZBy3SRNWz/boV9xvzCTY9gdJLL6/UMfyXXYHh9+P6z3KLoxNCVIYUUEJUgaLR4zFtNhg4cL9Lwxi5OaT1uA5bUSGFT04j2Prkgx/UZqP0si7krVxNwfRZmE4XKYMHkNrjOln6o5pJnPYURjBISb/7wVa5r13pxhOiepECSogqEGp+Ir6bb4Xvvydh7ot7PhkMktrrNuxbNlM8YBD+K6+u2MENA3+37uR+9BmlZ3XCvWIZmee0xbX0XavCF4fA+PtvEubNIXT0Mfi7da/0cULNmhNscjyu91dASYmFEQohKkMKKCGqSPGQByAlhaTHxu9xO3rS6AdwrV6F/6JLKBk6otLHDzdoSP7riygaNwGjqIi0f91A8n33yJiZOEucMQ3D56Okb39wOit/IMPA3+VKjJISXB+stC5AIUSlSAElRBUx69aFBx7AlpND4hOTAEh4ZS6JM54l2Kw5hdNmVrp7ZxebDe+dfchd+TGBlq3xzJtDxrkdZGHjODHy80iYPZNw3Xr4brj5kI9X2qUrAO53ZFJNIeJNCighqlL//oSOPgbP89NxL3iV5MEDCGdkkP/Sq5gpqZY1E1LNyFv2ASX9B2L7dSvpV1xE4sMPQWmpZW2Ig/PMnomtqJCS3veAx3PIxwu2bE3omONwLV8GPp8FEQohKksKKCGqUkICxQ+OwSgtJfWeuyAcpmDmS4QbNba+LZeL4gdGkbdoKeGjjiFpyiTSLz0fx6avrG9L7Ku4GM+MaYTT0vHd2tOaYxoG/i5dsRUX4fpolTXHFEJUihRQQlQxf9duBE5vC0DR2EcInN0ppu0F251J7qpP8N5wM85NX5F+YSeSh9yPkZcbmwaLi7Ft/QXHlxtxrVyO+603DstxWJ55L2HLzsZ7+52WXl3cuTaeW9bGEyKuDLMK54zZvr0w5o3VrZvC9u2H35d1rEg+rbUzn0ZuDo5NX0eKpwpOqngonKs/JHnYIBw//B/hrCyKH3wI3/U3VXjsle23X3G/uQDH/2ls2TswsrOxZe+I/O717rO9r9s1FE6fbdXL2EO1fI+WlpJ5emts+Xlkb/wvZlaWdcc2TTJPaYFRVET2f3+s0Mz4FVEt81rDSU6tF+uc1q2bUuYXtCNmrQohymRmZBI459wqbzdwdidyV63BM+NZkiZNIGVAXxLmvkDRhMkET2pz4J39ftxL3yHhlbk4P1qFsds/vsyEBMJZdQg2VZhZWYSz6kT+q1OHhEULSVj4Br4etxHocFaMX2H1kPD6a9i3/UHJXX2tLZ4g0o13+RUkPjcN5ycfEeh8gbXHF0KUixRQQhxuXC689/TH3+0akkY/QMKihaRf2AnfLT0pHv4gZkbmHpvbv9lEwqtzSXhzAbbcSLdf4PS2+G7sQWnHswln1YGkpDKvpAXO7kT6xZ1JHjaI3Pc/ObRb+WuCUAjPU49jOp14+9wbkyb8l3Ul8blpuJcslgJKiDiRMVBCHKbCDRpSOONF8t5cQqjpCXhemkXmmaeQ8PJLGDnZJMyaQfp5Z5F5XkcSn38OHE5K+vYn55P15L37H3w33UL42OMgOfmA3ZDBNqfiu/lfOL7/Ds+s56ruBcaJe8kiHJt/xnf9TYTrN4hJG8Ez2hI64kjcS9+BYDAmbQghDkwKKCEOc4GzziF31RqKRo8Hfykp999LVvPGpAwbhON/3+K/+DLy57xG9lffUTxqLKETVIXbKB4+inBGBomPPYLtrz9j8CqqCdMkccpkTJstMnFmrESX8bHl5OBc80ns2hFClEkKKCEERLubctdswHftDQRPbkPRyLFkf/U9BXNepfTiSw+p683MyqJ42EhsRYUkjXnQwsCrF9fK5ZGi88puhBs3iWlb/st3Tqq5OKbtCCH2TwooIcQu4foNKHz6OfKWf4j3nv6YRxxh2bF9PW4l0PpkEt6Yj3PtGsuOW22Y5q4Z5kvuvT/mzQXatSdcpw7ud5eA3x/z9oQQe5ICSghRNex2iiZECozkIQNr3dgd52ef4tzwOf6LLiHUomXsG3Q48F1zPbbtf5P4xMTYtyeE2IMUUEKIKhM87Qy8N/bA8d1/8bwwM97hVI5pYmRn41i/DveCV0l8dDwpvXuS0qcXACX9B1ZZKCWDhxJqeBSJTz2O/ZtNVdauEEKmMRBCVLHiEWNwv7uExAnj8XW9GrNevXiHdEC2rb+Q8Mpc7Jt/wr75Z+w//4ytIH+f7UyXC+9tdxA87Ywqi81MSaVw8lOkX9+NlP59yFu+qvZPEyFENSEFlBCiSpl16lA8dAQpwwaRPHYkhVOnxzukMtl++5X0Ky7G/sfvAJhuN6HjGhFo34FQoyaEGjWO/Ne4CeEGDcFur/IYA53Px3vDzXhefZnEp6dQct/gSh/LtvnnyNQUFZyZXojDkRRQQogq57v1dhLmzSFh/it4e9xG8Iy28Q5pH0Z2NmnXXYX9j98pHjQU3409IkVSNSwuiseMx/XBShInP4r/kssJNWte4WN4pk4heexISu7qQ/HYCTGIUojapfp9Ewghaj+7naIJkwFIHjoQQqE4B7SXoiLSbu6O44f/o+TueykZPIzwUUdXy+IJwEzPoGjiFIzSUlIG9KnwAP2E2TNJHjsSAM+sGdh+/ikWYQpRq1TPbwMhRK0XPKMtvutuxPntJhJenBXvcP5RWkra7T1wbozMiVU8amyVLvhcWaUXX4qvW3ecX2zE89y0cu/nnv8KKUMHEq5bj6IHRmEEgyRNGBvDSIWoHaSAEkLETdGDDxFOTSNpwjiMHTviHQ6Ew6T0uxvXqvfxX3ARhU88XW2vOu1P0cOPEa5Tl6RHx2H/6YeDbu9aspiU/n0Ip6eT9/pivP3uJ9DmFBIWLYT166sgYiFqrprzzSCEqHXMevUoGTIcW34eSeNGxTkYk6QHh5Kw8HUCp7elYOZLNe6ONjMzi8JHJ2P4fKT07wvhcJnbut5fQWrvnpieRPJfW0joxBZgGBSPjF59GjIETLOKIhei5pECSggRV97behE8sSWeV+bi/OA/cYsj8cnJJM6cTrBZc/Jfng+JiXGL5VCUdrkSf5crcX6+tszFm51rPiH1tpvBbqdg3gKCp5y267lAh7Pwn3cBrFqFc9XKqgpbiBpHCighRHw5HBQ+MRXT7Sa1123Y/09XeQgJL79E0sMPETrqaPLnv4WZkVnlMVip8JFJhDMzSRo/BtuWzXs85/hyI6k3XwehEAUvvEygfcd99i8eMQYMg+SHRh3wKpYQhzMpoIQQcRdscyqFU57BVlhA2s3XYuRkV1nbrneXkDyoP+GsLPIXLCJcv0GVtR0rZr16FI1/DKOkhJT7791VBNn/91/SrrsKo6SYgumzKT3vwv3uH2rREnr0wPG/b3G/Mb8qQxeixpACSghRLfivvpbi+wZh37KZ1NtvgdLSmLfpXPMJqb17QoKH/FfeIHR805i3WVX83brjv+gSXJ+sJmHui9h/+oH07l2x5eVROOUZSrt0PfABxo7FdLtJmjAOfL6qCVqIGkQm0hRCVBslQ0bg0Br3e0tIHjaYoklTKjeFQCiEkZuLLXsHtpxsjB07/vk9ewe27Gxs2TtwbFgP4TD5c+cRbHOq9S8ongyDoseewPnZGpJGj8BMT8e2/W8KH5mE//qbDr7/Mcfg7Xknic9OxfPC83jvvif2MQtRg0gBJYSoPmw2Cp6ZQXqXi/DMfYFQs2Z4e91doUPYf/whMoP4r1sPum04M5OCJ58h0KlzZSOu1sL1G1A09hFS+/eB4iKKRozGd/ud5d6/ZMBAEl6ZS+KUifhuvBkzLT2G0QpRs0gBJYSoXpKSKJj7GhkXdiLpwWEEmxxPoPMF5drV9ssW0q7ugn3bH/gvvJjwkQ0IZ2ViZtUhnFWHcGYWZp1/fichIcYvJv78199E8ZafCdc7At/td1VoXzMjk5J+95M8diSJU6dQPGJ0bIIUogYyzCqc52P79sKYN1a3bgrbtxfGupnDhuTTWpLP8nNsXE/6lZdiutzkLX2f0Alqv9vtzKlt2x+RhX9/2ULRqHF4+/ar4ohrl13vVa+XzDNPwZaTTc7aLyPrAYpKkc+/9WKd07p1U8ocQyCDyIUQ1VLw1NPLfWeesWMHaddcgf2XLRQPGirFk5U8HoqHPIDh85E48ZF4RyNEtSEFlBCi2irXnXm5uaRde+UeC/8Ka/mvvYFgs+YkvPoydv19vMMRolqQAkoIUa2VDBmB/9IuuD79mORhg/dYXsQoKoRLL8X57Sa8/7qd4tHjasTCvzWO3U7xiNEY4TBJ40fHOxpxGHG99w6ud96Odxj7JQWUEKJ6i96ZF2jZGs/cF0h87GFsf24Dr5fUHtfD2rX4ul9P0aOTpXiKodILLqa0XXvcy97DsfazeIcjDgOOTV+RensPUvv2qpJ54SpKBpGLA5J8WkvyWXm2338j48JO2Lb/DUA4PR1bXh5068b2p58Hh9xUbKX9vVcdGz4n49LzCbQ5BW+vuzHy87EV5GMUFGBEf9ry83b9HmregoLnX5LCNko+/xXg95Nx4Tk4vvsfALlLVhBs226fzeI5iFy+cYQQNUK44VHkrvgQ91tv4lzzMc51a/FffCnuV1+FfH+8wzssBE87A/9lV+B+922cfXqVuZ3pcoHdjuPHH3B98J8yl4wRoixJkybg+O5/BE9QOP5P4/p09X4LqHiSK1DigCSf1pJ8Wk9yGhtl5dXYsYOEhQswPYmYqamEU9MwU1Mx09IJp6RipqVBQgL2b78hs3MHSjueTf7Cd+LwCqofea+Wj+OLDaRfej7ho44mb+E7ZJ3WitKzOpH/5r5joeQKlBBCiBrBrFMH7519DrpdqGUrSs85F9dHq3B8/SXBk9pUQXSixvN6Sbm3N0Y4TOGT0wgfcyzB5i1wrl8Lfj+43fGOcBcZRC6EECImSvpE5uPyTHsqzpGImiLp0fGRKUl69SbQ4SwASjueheHz4fxyY5yj25NcgRJCCBETgU6dCZ7YEvfbiyh+YDThY46NbYPhMI6N6zG8XggGMAJBCAYxggEIBCK/ByK/m5mZBFu1JtSoCdjkWkJ14Ph8HZ5npxJs1Jji4aN2PR5ofxbMnI7z048JtGsfxwj3JAWUEEKI2DAMSvrcS+o9d+GZMY3icY/GtLmU3j1JWLSwQvuEk5IJtWxFoFVrgq1PJtiyNSHVDJzOGEVZsxg52Tg3fI5z/ec4vv6SQLv2lPQfCHa7tQ2VlJDSrzcAhU9Nh6SkXU8F2nfANAycn34MA4dY2+4hkAJKCCFEzPivuobQ+DF4Xp5DyaChmOkZMWnHtWQxCYsWEmh1EqWXXIbpdILdAU4HpsMJTmfkMYcDnE5sf27D8c0mHN98jWP9Opzr/pnbynS7CTY7kWDrk/De0ZtQ8xNjEnO1Ew5j/+H/cK5fF8nJ+nU4fvxhj01cH36Ac91nFEyfhZmRaVnTSQ+PwfHzT5Tcfe8+d9uZGZmETmyJc8Pn4PNVm0XApYASQggRO04n3jv7kDxmBAkvzcbbf6DlTRg52aQMHYjpdlP43GxCxzet2AFKSnB8999/CqpNX+P47r84v/4S95JF5L31HqEWLS2PO+5ME/uPP+BavhTnp6txbliPLT9v19Ph5BRKO3UmcNoZBE5vS+j4piQPuR/3yhVkXNCJ/BfnEWrZ6pDDcK75hMQZzxJsegLFQ0fsd5vSDh1J/O83OL/cSODMDofcphWkgBJCCBFTvltuJfHxx/DMnI639z2W30mV/OAwbNv/pmjEmIoXTwCJiQRPPZ3gqaf/81ggQMJr80gZ2I/07l3JW7yUUNMTrAs6XkpLca5dg+s/y3AvX4p9y+ZdTwUbNab0oksInN42UjCpZvt01RW8vIDExx4m6fHHyLjsfAofn4r/6msrH09RESn9+mDabBQ+9Sx4PPvdLNDhbJjxLM5PVtecAkopZQOWAOsAF9AE6Al4gAnAz0BTYLjW+q/YhSqEEKImMlNS8d1yG4nPPEnCmwvw3djDsmO7Vi4n4fXXCJzUBm+fey07Lk4nvh63QjBIypD7SbvmCvLeXkb42OOsa6OKGNnZuN5fgWvFMlyr3sdWWABErjD5u1yJ/4KLKO18AWa9egc/mM1GydARBE9qQ0rfO0m9+w5KvvqC4pFjKzVuLPmhB7Fv3UJJv/v3LGD3Emh3ZmQc1JpPKtxGrJT31oPPtNYPaa1HAIlAN+BhYKXWegKwCJhXxvqzAAAQp0lEQVQUoxiFEELUcN5evTEdjsiUBuGwJcc0CgtIHjQA0+GgcMozMVnOx3fbHRSNGod92x+kX30Ftj9+t7yNWHF8vo70LheR1aIJqffcRcLbb2FmZFLSqzd5CxaR/f1mCmbNwX/9TeUrnnZTesll5K34kGDTE0h8bhpp3btibN9eoWM4P1qF58VZBJs1p3jwsANua2ZkEmzR6p9xUNXAQQsorXVYaz0OQCnlAI4CNHAZsHPU3afRv4UQQoh9hBs0xN+te2RZjvdXWHLMpIdGYf/jd0r6D4zpGCVv334UDx6GfesW0q65AuPvv2PWllVcy94j/ZouOD5fS/C0MygaMYac1evIWf81xeMfI9CpM7hch9RG6Pim5C1fhf+yK3Ct+YSMC87GUZ65mkwT46+/SLnvHky7ncKp08vVrRvocBaG349z4/pDitsq5V7KRSl1EXAfsE5rPUop5QeO0FrnRQurAODUWgfLOkYwGDIdDotvfRRCCFEzbNoEJ50E55wDH354aMf68EM491xo0QK++OKQi4GDMk0YMgQmToTWrWHVKsi07i40S82aBXfeGblb7c034eKLY9ueacKECfDAA5H/D1OnwmmnwW+/lf1fSUlk35EjYcyY8rXz9tvQtSuMGgWjR8fs5eylzKVcKrwWnlJqDrAWGAa011r/qpTKBH7UWh/w3SRr4dU8kk9rST6tJzmNjVjlNe26q3Ctep/c5asItjm1cgcpKSGz05nYtv5C3nsrCZ5ymrVBlsU0SR46EM8LzxNocwr5b7yNmZJa7t1j/l41TRKnTCLpkbGEMzPJn/f6AccVWc35wUpSe/fElpdX5jbhOnUI1W9IuEEDgq1PjswpVc7i18jPI+uEYwm0a0/+4qVANV8LTyl1ItBIa/1u9KHNQGPgXeBM4FegQ/RvIYQQokwlffrhWvU+nmlTKZz5YqWOkTRhHPYtmynp06/qiicAw6DokUkYXi8Jr80j9aZryX/1zT0mfYybUIjkEUPwzJpB6OhjyJ//VuXuSDwEgc7nk7viIxKffhLT5SQcLZTCDRoSqt+A8JH1D2kOJzMtnWCrkyJdeF5vmXfsVZXyjLjzA7crpdoATqA50A8oBR5VSp1A5M68QTGLUgghRK0QOLsTgZatcS9ZRPEvWyp8V5tj43o8M6ZFlvv49/DYBHkgNhuFTzwNXi8JixeSduuN5L+8IL6L3Pr9pNxzFwmLFxJs3oL8+QsjxUochI9rRNGkKTE7fqB9R5ybvsK5cT2BjmfHrJ3yOGgBpbX+ichdd/vTy9pwhBBC1GqGgbdvP1LvvgPPc89Q/PDE8u/r95MyoC9GOEzRlGcgMTF2cR6I3U7htJkYPi/u5UtJvb0HvtvuIJyeQTgjEzMjAzMtvUrW2DMKC0i99SZcH39Eabv2FMx9LdJ2LRXoeBZMfzoyH1R1L6CEEEIIK/mvuIrQuNF4XpkbWd4lM6tc+yU+MRGH/h7vrbfHfzJFp5OCmS+RdvN1uFcsw71i2R5Pm4aBmZ5OOD0DMzOTcHoG1D+CpKQ0zKwswll1CGdGfkb+zoosc1OBosv46y/SbrwG5zdf47/kcgqmz4p7t1asBdqeiWmzVYv5oKSAEkIIUbWcTrx39SF55HA8L82m5L7BB93F/u03JD71OKGGR1H8YDnv2oq1hATy576G++23sP25DVtuLkZuTuRnXi623ByM3Fzsv/2KEQgAkYkUy2LabJFiq249wkccGR03dCThI+oTPrJ+5Pf6DQjXrYft162kX3sl9l+24O1xG0WPPW79Ar/V0K5xUF9siN7JlxK3WKSAEkIIUeV8N/+LxEmP4nn+OUruvnffwcWhEEZuLrYd27Ht2E7S6BEYwSCFk5+s0J1vMefx4L/uxgNvY5pQXExdw0/uD79g5GRj27EDW042tuzsPf42sndg+/13HN/9r+zDGQY4nRilpRQPHELJv4eDUebNYrVOoMNZOL/+MjKp5rFd4haHFFBCCCGqnJmcgu9fPUmc+gSpd96K6fFEiogd27Ft346Rk42x14zlvutuJND5gjhFfAgMA5KToW59gknl666kuBjbX39i/3Nb5OrWn39Gfv61Ddu2bdjy8/Hefie+W26LbezVUOn5F5I47Sls2/6IaxxSQAkhhIgLb6/eeJ6fjnvZe7seC6enE65Tl/DxTTHr1CVcp07k76OOxtetexyjrWJJSYQbNyHcuEm8I6l2Ah3PJufDzwg1ax7XOKSAEkIIERfhI+uT8/HnGAUFmHUig6pjPqO4qBVCJ7aIdwhSQAkhhIif8DHHxjsEISol9pNUCCGEEELUMlJACSGEEEJUkBRQQgghhBAVJAWUEEIIIUQFSQElhBBCCFFBUkAJIYQQQlSQFFBCCCGEEBUkBZQQQgghRAVJASWEEEIIUUFSQAkhhBBCVJAUUEIIIYQQFSQFlBBCCCFEBRmmacY7BiGEEEKIGkWuQAkhhBBCVJAUUEIIIYQQFSQFlBBCCCFEBUkBJYQQQghRQVJACSGEEEJUkBRQQgghhBAVJAWUEOKwppSS70EhRIXJF0eUUsqIdwy1hVKqmVLKFe84agul1GlKqSPjHUdtopTqrJR6FUBrHY53PLWFUuq4eMdQG8n5yXpW5PSwnkhTKZUFzAQe11p/opSyyZdp5SmljgAuBq4GtgLLtNbvxDeqmksp1QgYDhwD3KW13qKUMrTWh++H9hBFT/DDgCOiD43UWm+KX0S1g1KqPnAhcAHwE7BRa/22fKdWnpyfrGd1Tg/3K1CNgAzgWZB/iR4KpdQpwCOABnoBXqBhXIOqwZRSZxL5oL+jtb4IKFFK2eMcVo2mlLoeWAp8CtwArAR+jmtQtYBSygn0AX4BBgLbgLFKqXStdViunlSanJ+sZ2lOD7sCSimVGP3pBNxa63OBOkqp3tHH5SRVAUqppOiv24E/tdZrtdZ/EXmT5iql6ka3ky/Rctgtn78ROdF/p5S6F+gPPEWkOJV8VoBSKjn663rgCa31HK21F2gGXBK/yGq2nd+lQBZwE7Am+tlfA7iAkfGKrSZTStmj5yE5P1kgluf8w6YLTynVArgcqAu8prXeoJRya639SqmrgdlAXa11aVwDrSH2yud8rfV6pVSC1tqnlDoHuI5IN1534A6t9ZdxDLfaKyOfXYF2wCQgF7gGuBfoqbX+IW7B1hD7y2n0cUNrbSqlugAFWuuP4hlnTbNXXhdorT9XSr0BhLXW1yqlFJHPfVvgTq31tjiGWyMopdoAlwEP77wqopRK1VoXyPmpcqrinH9YXIFSSjUFbgbmEblk/2+l1E1aaz+A1vpN4H/A2Oj2mfGKtSYoI583a6190U02aK37aK0nAKuJXDYVZdhPPocopbprrRcDz2mts6NfqquBbzhMPreHYj85HayUuglgtzFkzYlchZIreuVUxmf/aiJXRjOVUqOIFAKrgI+AwnjFWlNEb7jpCZwH3BJ9zBYtngw5P1VcVZ3zD5cv4mOBk7XWv2mtpwGfAWdFq/6dehL5kp0CpMYjyBpk73yuAToqpU6NPt8QQCl1OXA08EV8wqwx9s7np8D5Sqk20YHjJ0e3Ox3IBP6KV6A1SHk+80uABkopuwzML7f9vVcvBTK11ucDM7XWjwNhwAP44xdqjZEKbADmApcrpertNnZs5zlazk8VUyXn/MOlgNoMFCil2kf/XgaYQH3YNe6kEZExJo9orbfEI8gapKx87ryzqbdSahaQCPSSfB7U/vIZJvr+BPoqpZ4H0oC7tdZ5cYixpjngZz6qMfCp1jpU1cHVYPvLaymgon+frZSaQeTq3pNa60AcYqxRtNY7tNYvAWuBfODO6OOm1jok56dKqZJzfq0qoJRS9fb6e+fgsADwO3CJUsqhtf4OcAJNos/7gY+01gOigyAFlcrnCdHnZxC5TXSB1jq3ygKu5iqRz50npUeBiVrrlyWfezqEzzxEptlYUTWR1iyVyGvT6PPriRROs7XWBVUWcA2wn5za1J6TuP4IfAi0UUo13u1xOT+V025d8VVyzq8Vg8ijd9lcCXQkMgfJp1rrNXttcxNwLvCd1nqyUmoQ8LPWemGVB1zNST6tJfm0nuQ0NiSv1jtYTpVSbsCmtfZG71oeBZwBvABMl+7lfSmlPMBEYKnW+t1oN3xor21i/j6tLVegriXS5TGayGW6wUqpnYNDhyqlJhP5l9HTwClKqYlANvBWfMKt9iSf1pJ8Wk9yGhuSV+sdKKf/BibzT9dyFpAEvAHMkOKpTK2IjK99HCDa1WkAKKUGV9X7tMZegYrepRCOXlpeBgzUWm9SSjUE7iMyKGwg8DAweWcfp1IqDQhprYviFHq1JPm0luTTepLT2JC8Wu8QcloPCEhX/b52y6lBZMb7L4C3gXe11uOjjzcAhhAZQrIlul/M3qc1roCKvsHuJdKHuVprvTpabR6rtb4mmsQOQD9guNb6x+h+Mg3+fkg+rSX5tJ7kNDYkr9aTnFpvr5x+qCNLsGRorXOVUhcBc4AWWusde+0X85zWmC48pZShlOpBZMmA/wAFwKLo088DxyqlLole8vwd2AEURfeVN+deJJ/WknxaT3IaG5JX60lOrVdGThcD7LxCp7VeTmTg/fjoPsk7962KnDpi3YCF0onMLzRba70VWK2UOit6SfR7IgPuHldKfQAcSeS1hUHWECqD5NNakk/rSU5jQ/JqPcmp9faX045KqWOif+80DPhRRSYkHQcUVdXYsWpdQEUH2nUjsujnF8AHRCp3lFLHAr9prX+PVvDTVOQOhuFEBuqN0lr/HafQqyXJp7Ukn9aTnMaG5NV6klPrlSOnv2utt+42HsoNtCYydc4TWuufqjLeajcGSv2zTtXdRAbabSZyK6JTa33Hbtt1Bo4hMnvrZVrrt6OPO7TWwTiEXi1JPq0l+bSe5DQ2JK/Wk5xar5I5vRhYChhAmtY6p+ojr2ZjoKID7DzRP9OJTHS3ABgBXKeUunC3zZOIJPo+IpdGjwOQN+c/JJ/WknxaT3IaG5JX60lOrXcIOX0SOEZrHYpX8QTVqIBSSp1JZE6HSSqyivI5RNazQWudTWQOjUm77dIXeAZIAdppmd5+D5JPa0k+rSc5jQ3Jq/Ukp9arDTmNexdedNT8aOAHYAGROxa+BPKAe7TWOycccxOZBGsIkEPkNtDXtdYb4hB2tSX5tJbk03qS09iQvFpPcmq92pTT6nAFaudtnSujtyaOAc7QWj8NBJVSA6LbZQFaa/2N1vp3rfWQ6pTIakTyaS3Jp/Ukp7EhebWe5NR6tSan1aGAKgHe2Gv0/GfRnw8CzVVkGvbbgQ2wx4KBYl+ST2tJPq0nOY0Nyav1JKfWqzU5jfs0BjoyX8Ovuz10LPBd9HcXkanu6wKbo/2iO/cR+yH5tJbk03qS09iQvFpPcmq92pTTuBdQ+1EfyFFKvUpk6vYVWutf4hxTTSb5tJbk03qS09iQvFpPcmq9GpvTuA8i351S6khgDfANsEBrPS/OIdVokk9rST6tJzmNDcmr9SSn1qvpOa1uV6DCwCxgktbaH+9gagHJp7Ukn9aTnMaG5NV6klPr1eicVqsrUEIIIYQQNUF1uAtPCCGEEKJGkQJKCCGEEKKCpIASQgghhKggKaCEEEIIISpICighhBBCiAqSAkoIIYQQooKkgBJCCCGEqCApoIQQQgghKuj/AcXmA7lPKAp2AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(portfolio.time_grid, path_gbm, 'r', label='gbm')\n",
    "plt.plot(portfolio.time_grid, path_jd, 'b', label='jd')\n",
    "plt.xticks(rotation=30)\n",
    "plt.legend(loc=0)\n",
    "# plt.savefig('../../images/ch20/dx_port_01.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 128,
   "metadata": {
    "uuid": "873e0a44-470b-4fc6-ab12-956de039b21e"
   },
   "outputs": [],
   "source": [
    "correlations = [['gbm', 'jd', 0.9]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 129,
   "metadata": {
    "uuid": "3f517f85-6cd4-431f-9a86-51956d712576"
   },
   "outputs": [],
   "source": [
    "port_corr = derivatives_portfolio(\n",
    "                name='portfolio',\n",
    "                positions=positions,\n",
    "                val_env=val_env,\n",
    "                assets=underlyings,\n",
    "                correlations=correlations,\n",
    "                fixed_seed=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 130,
   "metadata": {
    "uuid": "be0fe6c4-3f67-4091-aabb-110043f3b2b2"
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>name</th>\n",
       "      <th>quant.</th>\n",
       "      <th>value</th>\n",
       "      <th>curr.</th>\n",
       "      <th>pos_value</th>\n",
       "      <th>pos_delta</th>\n",
       "      <th>pos_vega</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>am_put_pos</td>\n",
       "      <td>3</td>\n",
       "      <td>4.620772</td>\n",
       "      <td>EUR</td>\n",
       "      <td>13.862316</td>\n",
       "      <td>-1.9359</td>\n",
       "      <td>42.7728</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>eur_call_pos</td>\n",
       "      <td>5</td>\n",
       "      <td>2.902912</td>\n",
       "      <td>EUR</td>\n",
       "      <td>14.514560</td>\n",
       "      <td>3.4380</td>\n",
       "      <td>43.5095</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           name  quant.     value curr.  pos_value  pos_delta  pos_vega\n",
       "0    am_put_pos       3  4.620772   EUR  13.862316    -1.9359   42.7728\n",
       "1  eur_call_pos       5  2.902912   EUR  14.514560     3.4380   43.5095"
      ]
     },
     "execution_count": 130,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "port_corr.get_statistics()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 131,
   "metadata": {
    "uuid": "c3f911fc-b3f5-4fd2-bf53-d45cbb78e67b"
   },
   "outputs": [],
   "source": [
    "path_gbm = port_corr.underlying_objects['gbm'].\\\n",
    "            get_instrument_values()[:, path_no]\n",
    "path_jd = port_corr.underlying_objects['jd'].\\\n",
    "            get_instrument_values()[:, path_no]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 132,
   "metadata": {
    "uuid": "e2b1e218-8908-42e9-a9c7-8dc0c58a95c1"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.plot(portfolio.time_grid, path_gbm, 'r', label='gbm')\n",
    "plt.plot(portfolio.time_grid, path_jd, 'b', label='jd')\n",
    "plt.xticks(rotation=30)\n",
    "plt.legend(loc=0);\n",
    "# plt.savefig('../../images/ch20/dx_port_02.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 133,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.        , 40.91362618, 25.65941221, ...,  0.        ,\n",
       "        6.62026499,  8.40476973])"
      ]
     },
     "execution_count": 133,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pv1 = 5 * port_corr.valuation_objects['eur_call_pos'].\\\n",
    "            present_value(full=True)[1]\n",
    "pv1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 134,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([21.59315856, 11.9322554 , 19.97013408, ..., 21.71891723,\n",
       "       12.80948124,  0.        ])"
      ]
     },
     "execution_count": 134,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pv2 = 3 * port_corr.valuation_objects['am_put_pos'].\\\n",
    "            present_value(full=True)[1]\n",
    "pv2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 135,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.hist([pv1, pv2], bins=25,\n",
    "         label=['European call', 'American put']);\n",
    "plt.axvline(pv1.mean(), color='r', ls='dashed',\n",
    "            lw=1.5, label='call mean = %4.2f' % pv1.mean())\n",
    "plt.axvline(pv2.mean(), color='r', ls='dotted',\n",
    "            lw=1.5, label='put mean = %4.2f' % pv2.mean())\n",
    "plt.xlim(0, 80); plt.ylim(0, 10000)\n",
    "plt.legend();\n",
    "# plt.savefig('../../images/ch20/dx_port_03.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 136,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pvs = pv1 + pv2\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.hist(pvs, bins=50, label='portfolio');\n",
    "plt.axvline(pvs.mean(), color='r', ls='dashed',\n",
    "            lw=1.5, label='mean = %4.2f' % pvs.mean())\n",
    "plt.xlim(0, 80); plt.ylim(0, 7000)\n",
    "plt.legend();\n",
    "# plt.savefig('../../images/ch20/dx_port_04.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 137,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "16.944071027037896"
      ]
     },
     "execution_count": 137,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pvs.std()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 138,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "23.08385800417789"
      ]
     },
     "execution_count": 138,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pv1 = (5 * portfolio.valuation_objects['eur_call_pos'].\n",
    "            present_value(full=True)[1])\n",
    "pv2 = (3 * portfolio.valuation_objects['am_put_pos'].\n",
    "            present_value(full=True)[1])\n",
    "(pv1 + pv2).std()  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br>\n",
    "\n",
    "<a href=\"http://tpq.io\" target=\"_blank\">http://tpq.io</a> | <a href=\"http://twitter.com/dyjh\" target=\"_blank\">@dyjh</a> | <a href=\"mailto:training@tpq.io\">training@tpq.io</a>"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
